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In the United States, acredit score of 600 or below is considered poor, limiting available credit at a normal interest rate
NASCAR runs 600 advertised miles in theCoca-Cola 600, its longest race
TheFiat 600 is a car, theSEAT 600 its Spanish version

Integers from 601 to 699

[edit]

600s

[edit]

601 = prime number,centered pentagonal number^[3]
602 = 2 × 7 × 43,nontotient,number of cubes of edge length 1 required to make a hollow cube of edge length 11, area code forPhoenix, AZ along with480 and623
603 = 3² × 67,Harshad number,Riordan number,area code forNew Hampshire
604 = 2² × 151,nontotient, totient sum for first 44 integers, area code for southwestern British Columbia (Lower Mainland, Fraser Valley, Sunshine Coast and Sea to Sky)
605 = 5 × 11²,Harshad number,sum of the nontriangular numbers between the two successivetriangular numbers 55 and 66,number of non-isomorphic set-systems of weight 9
606 = 2 × 3 × 101,sphenic number, sum of six consecutive primes (89 + 97 + 101 + 103 + 107 + 109),admirable number, One of the numbers associated with Christ - ΧϚʹ - see theGreek numerals Isopsephy and the reason why other numbers siblings with this one are Beast's numbers.
607 – prime number, sum of three consecutive primes (197 + 199 + 211),Mertens function(607) = 0,balanced prime,^[4] strictly non-palindromic number,^[5]Mersenne prime exponent
608 = 2⁵ × 19,Mertens function(608) = 0,nontotient,happy number,number of regions formed by drawing the line segments connecting any two of the perimeter points of a 3 times 4 grid of squares^[6]
609 = 3 × 7 × 29,sphenic number,strobogrammatic number^[7]

610s

[edit]

610 = 2 × 5 × 61, sphenic number,Fibonacci number,^[8]Markov number,^[9] also a kind oftelephone wall socket used inAustralia
611 = 13 × 47, sum of the three standard board sizes in Go (9² + 13² + 19²), the611th tribonacci number is prime
612 = 2² × 3² × 17,Harshad number, Zuckerman number (sequenceA007602 in theOEIS),untouchable number, area code forMinneapolis, MN
613 = prime number, first number ofprime triple (p,p + 4,p + 6), middle number ofsexy prime triple (p − 6,p,p + 6). Geometrical numbers:Centered square number with 18 per side,circular number of 21 with a square grid and 27 using a triangular grid. Also 17-gonal. Hypotenuse of a right triangle with integral sides, these being 35 and 612. Partitioning: 613 partitions of 47 into non-factor primes, 613 non-squashing partitions into distinct parts of the number 54. Squares: Sum of squares of two consecutive integers, 17 and 18. Additional properties: alucky number, index of prime Lucas number.^[10]
- InJudaism the number 613 is very significant, as its metaphysics, theKabbalah, views every complete entity as divisible into 613 parts: 613 parts of everySefirah;613 mitzvot, or divineCommandments in theTorah; 613 parts of the human body.
- The number 613 hangs from the rafters atMadison Square Garden in honor ofNew York Knicks coachRed Holzman's 613 victories
614 = 2 × 307,nontotient,2-Knödel number. According to RabbiEmil Fackenheim, the number of Commandments in Judaism should be 614 rather than the traditional 613.
615 = 3 × 5 × 41,sphenic number
616 = 2³ × 7 × 11,Padovan number, balanced number,^[11] an alternative value for theNumber of the Beast (more commonly accepted to be666)
617 = prime number, sum of five consecutive primes (109 + 113 + 127 + 131 + 137),Chen prime,Eisenstein prime with no imaginary part, number of compositions of 17 into distinct parts,^[12]prime index prime, index of prime Lucas number^[10]
- Area code 617, a telephone area code covering the metropolitan Boston area
618 = 2 × 3 × 103,sphenic number,admirable number
619 = prime number,strobogrammatic prime,^[13]alternating factorial^[14]

620s

[edit]

620 = 2² × 5 × 31, sum of four consecutive primes (149 + 151 + 157 + 163), sum of eight consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), the sum of the first 620 primes is itself prime^[15]
621 = 3³ × 23, Harshad number, the discriminant of a totally real cubic field^[16]
622 = 2 × 311,nontotient, Fine number, (sequenceA000957 in theOEIS), it is also the standard diameter of modern roadbicycle wheels (622 mm, from hook bead to hook bead)
623 = 7 × 89, number of partitions of 23 into an even number of parts^[17]
624 = 2⁴ × 3 × 13 =J₄(5),^[18] sum of a twin prime pair (311 + 313), Harshad number, Zuckerman number
625 = 25² = 5⁴, sum of seven consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103),centered octagonal number,^[19] 1-automorphic number,Friedman number since 625 = 5⁶⁻²,^[20] one of the two three-digit numbers when squared or raised to a higher power that end in the same three digits, the other being376
626 = 2 × 313,nontotient,2-Knödel number,Stitch's experiment number
627 = 3 × 11 × 19, sphenic number, number ofinteger partitions of 20,^[21]Smith number^[22]
628 = 2² × 157,nontotient, totient sum for first 45 integers
629 = 17 × 37,highly cototient number,^[23]Harshad number, number of diagonals in a 37-gon^[24]

630s

[edit]

630 = 2 × 3² × 5 × 7, sum of six consecutive primes (97 + 101 + 103 + 107 + 109 + 113), the 35thtriangular number,^[25] ahexagonal number,^[26]sparsely totient number,^[27] Harshad number, balanced number,^[28]largely composite number^[2]
631 =Cuban prime number,Lucky prime,centered triangular number,^[29]centered hexagonal number,^[30] Chen prime, lazy caterer number (sequenceA000124 in theOEIS)
632 = 2³ × 79,refactorable number, number of 13-bead necklaces with 2 colors^[31]
633 = 3 × 211, sum of three consecutive primes (199 + 211 + 223),Blum integer; also, in the title of the movie633 Squadron
634 = 2 × 317,nontotient, Smith number^[22]
635 = 5 × 127, sum of nine consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89), Mertens function(635) = 0, number of compositions of 13 into pairwise relatively prime parts^[32]
- "Project 635", the Irtysh River diversion project in China involving adam and acanal
636 = 2² × 3 × 53, sum of ten consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83), Smith number,^[22] Mertens function(636) = 0
637 = 7² × 13, Mertens function(637) = 0,decagonal number^[33]
638 = 2 × 11 × 29, sphenic number, sum of four consecutive primes (151 + 157 + 163 + 167),nontotient,centered heptagonal number^[34]
639 = 3² × 71, sum of the first twenty primes, alsoISO 639 is theISO's standard for codes for the representation oflanguages

640s

[edit]

640 = 2⁷ × 5,Harshad number,refactorable number, hexadecagonal number,^[35] number of 1's in all partitions of 24 into odd parts,^[36] number of acres in a square mile
641 = prime number,Sophie Germain prime,^[37] factor of4294967297 (the smallest nonprimeFermat number), Chen prime, Eisenstein prime with no imaginary part,Proth prime^[38]
642 = 2 × 3 × 107 = 1⁴ + 2⁴ + 5⁴,^[39]sphenic number,admirable number
643 = prime number, largest prime factor of 123456
644 = 2² × 7 × 23,nontotient,Perrin number,^[40] Harshad number, commonumask,admirable number
645 = 3 × 5 × 43, sphenic number,octagonal number, Smith number,^[22]Fermat pseudoprime to base 2,^[41] Harshad number
646 = 2 × 17 × 19, sphenic number, alsoISO 646 is the ISO's standard for international 7-bit variants ofASCII, number of permutations of length 7 without rising or falling successions^[42]
647 = prime number, sum of five consecutive primes (113 + 127 + 131 + 137 + 139), Chen prime, Eisenstein prime with no imaginary part, 3⁶⁴⁷ - 2⁶⁴⁷ is prime^[43]
648 = 2³ × 3⁴ =A331452(7, 1),^[6] Harshad number,Achilles number, area of a square with diagonal 36^[44]
649 = 11 × 59,Blum integer

650s

[edit]

650 = 2 × 5² × 13,primitive abundant number,^[45]square pyramidal number,^[46] pronic number,^[1]nontotient, totient sum for first 46 integers; (other fields)the number of seats in theHouse of Commons of the United Kingdom,admirable number
651 = 3 × 7 × 31, sphenic number,pentagonal number,^[47]nonagonal number^[48]
652 = 2² × 163, maximal number of regions by drawing 26 circles^[49]
653 = prime number, Sophie Germain prime,^[37] balanced prime,^[4] Chen prime, Eisenstein prime with no imaginary part
654 = 2 × 3 × 109, sphenic number,nontotient, Smith number,^[22]admirable number
655 = 5 × 131, number of toothpicks after 20 stages in a three-dimensional grid^[50]
656 = 2⁴ × 41 = $\lfloor {\frac {3^{16}}{2^{16}}}\rfloor$ ,^[51] inJudaism, 656 is the number of times thatJerusalem is mentioned in theHebrew Bible orOld Testament
657 = 3² × 73, the largest known number not of the forma²+s withs asemiprime
658 = 2 × 7 × 47,sphenic number,untouchable number
659 = prime number, Sophie Germain prime,^[37] sum of seven consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107), Chen prime, Mertens function sets new low of −10 which stands until 661, highly cototient number,^[23] Eisenstein prime with no imaginary part, strictly non-palindromic number^[5]

660s

[edit]

660 = 2² × 3 × 5 × 11
- Sum of four consecutive primes (157 + 163 + 167 + 173)
- Sum of six consecutive primes (101 + 103 + 107 + 109 + 113 + 127)
- Sum of eight consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101)
- Sparsely totient number^[27]
- Sum of 11th row when writing the natural numbers as a triangle.^[52]
- Harshad number.
- largely composite number^[2]
661 = prime number
- Sum of three consecutive primes (211 + 223 + 227)
- Mertens function sets new low of −11 which stands until 665
- Pentagram number of the form $5n^{2}-5n+1$
- Hexagram number of the form $6n^{2}-6n+1$ i.e. astar number
662 = 2 × 331,nontotient, member ofMian–Chowla sequence^[53]
663 = 3 × 13 × 17,sphenic number, Smith number^[22]
664 = 2³ × 83,refactorable number, number of knapsack partitions of 33^[54]
- Telephonearea code for Montserrat
- Area code for Tijuana within Mexico
- Model number for theAmstrad CPC 664 home computer
665 = 5 × 7 × 19,sphenic number, Mertens function sets new low of −12 which stands until 1105, number of diagonals in a 38-gon^[24]
666 = 2 × 3² × 37, 36thtriangular number,^[55]Harshad number,repdigit
667 = 23 × 29, lazy caterer number (sequenceA000124 in theOEIS)
668 = 2² × 167,nontotient
669 = 3 × 223,Blum integer

670s

[edit]

670 = 2 × 5 × 67, sphenic number,octahedral number,^[56]nontotient
671 = 11 × 61. This number is themagic constant ofn×n normalmagic square andn-queens problem for n = 11.
672 = 2⁵ × 3 × 7,harmonic divisor number,^[57] Zuckerman number,admirable number,largely composite number,^[2]triperfect number
673 = prime number, lucky prime, Proth prime^[38]
674 = 2 × 337,nontotient,2-Knödel number
675 = 3³ × 5²,Achilles number
676 = 2² × 13² = 26², palindromic square
677 = prime number, Chen prime, Eisenstein prime with no imaginary part, number of non-isomorphic self-dual multiset partitions of weight 10^[58]
678 = 2 × 3 × 113, sphenic number,nontotient, number of surface points of an octahedron with side length 13,^[59]admirable number
679 = 7 × 97, sum of three consecutive primes (223 + 227 + 229), sum of nine consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), smallest number of multiplicative persistence 5^[60]

680s

[edit]

680 = 2³ × 5 × 17,tetrahedral number,^[61]nontotient
681 = 3 × 227, centered pentagonal number^[3]
682 = 2 × 11 × 31, sphenic number, sum of four consecutive primes (163 + 167 + 173 + 179), sum of ten consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89), number of moves to solve the Norwegian puzzlestrikketoy^[62]
683 = prime number, Sophie Germain prime,^[37] sum of five consecutive primes (127 + 131 + 137 + 139 + 149), Chen prime, Eisenstein prime with no imaginary part,Wagstaff prime^[63]
684 = 2² × 3² × 19, Harshad number, number of graphical forest partitions of 32^[64]
685 = 5 × 137, centered square number^[65]
686 = 2 × 7³,nontotient, number of multigraphs on infinite set of nodes with 7 edges^[66]
687 = 3 × 229, 687 days to orbit the Sun (Mars)D-number^[67]
688 = 2⁴ × 43, Friedman number since 688 = 8 × 86,^[20] 2-automorphic number^[68]
689 = 13 × 53, sum of three consecutive primes (227 + 229 + 233), sum of seven consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109).Strobogrammatic number^[69]

690s

[edit]

690 = 2 × 3 × 5 × 23, sum of six consecutive primes (103 + 107 + 109 + 113 + 127 + 131), sparsely totient number,^[27] Smith number,^[22] Harshad number
- ISO 690 is the ISO's standard for bibliographic references
691 = prime number, (negative) numerator of theBernoulli numberB₁₂ = -691/2730.Ramanujan's tau function τ and thedivisor function σ₁₁ are related by the remarkable congruence τ(n) ≡ σ₁₁(n) (mod 691).
- In number theory, 691 is a "marker" (similar to the radioactive markers in biology): whenever it appears in a computation, one can be sure that Bernoulli numbers are involved.
692 = 2² × 173, number of partitions of 48 into powers of 2^[70]
693 = 3² × 7 × 11, triangular matchstick number,^[71] the number of sections inLudwig Wittgenstein'sPhilosophical Investigations.
694 = 2 × 347, centered triangular number,^[29]nontotient, smallest pandigital number in base 5.^[72]
695 = 5 × 139, 695!! + 2 is prime.^[73]
696 = 2³ × 3 × 29, sum of a twin prime (347 + 349), sum of eight consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103), totient sum for first 47 integers, trails of length 9 on honeycomb lattice^[74]
697 = 17 × 41,cake number; the number of sides of Colorado^[75]
698 = 2 × 349,nontotient, sum of squares of two primes^[76]
699 = 3 × 233,D-number^[67]

References

[edit]

^^a ^bSloane, N. J. A. (ed.)."Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^b ^c ^dSloane, N. J. A. (ed.)."Sequence A067128 (Ramanujan's largely composite numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A005891 (Centered pentagonal numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A006562 (Balanced primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A016038 (Strictly non-palindromic numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A331452 (Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000787 (Strobogrammatic numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000045 (Fibonacci numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A002559 (Markoff (or Markov) numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A001606 (Indices of prime Lucas numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A032020 (Number of compositions (ordered partitions) of n into distinct parts)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-24.
^Sloane, N. J. A. (ed.)."Sequence A007597 (Strobogrammatic primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A005165 (Alternating factorials)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^OEIS: A013916
^Sloane, N. J. A. (ed.)."Sequence A006832 (Discriminants of totally real cubic fields)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A027187 (Number of partitions of n into an even number of parts)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A059377 (Jordan function J_4(n))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A036057 (Friedman numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000041 (a(n) = number of partitions of n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^b ^c ^d ^e ^f ^gSloane, N. J. A. (ed.)."Sequence A006753 (Smith numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A100827 (Highly cototient numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A000096 (a(n) = n*(n+3)/2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^"A000217 - OEIS".oeis.org. Retrieved2024-11-29.
^Sloane, N. J. A. (ed.)."Sequence A000384 (Hexagonal numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^b ^cSloane, N. J. A. (ed.)."Sequence A036913 (Sparsely totient numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A005448 (Centered triangular numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A003215 (Hex (or centered hexagonal) numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000031 (Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A101268 (Number of compositions of n into pairwise relatively prime parts)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A001107 (10-gonal (or decagonal) numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A069099 (Centered heptagonal numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A051868 (16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A036469 (Partial sums of A000009 (partitions into distinct parts))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^b ^c ^dSloane, N. J. A. (ed.)."Sequence A005384 (Sophie Germain primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^^a ^bSloane, N. J. A. (ed.)."Sequence A080076 (Proth primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A074501 (a(n) = 1^n + 2^n + 5^n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^"Sloane's A001608 : Perrin sequence".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-11.
^Sloane, N. J. A. (ed.)."Sequence A001567 (Fermat pseudoprimes to base 2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A002464 (Hertzsprung's problem: ways to arrange n non-attacking kings on an n X n board, with 1 in each row and column. Also number of permutations of length n without rising or falling successions)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A057468 (Numbers k such that 3^k - 2^k is prime)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A001105 (a(n) = 2*n^2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A071395 (Primitive abundant numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000330 (Square pyramidal numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000326 (Pentagonal numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A014206 (a(n) = n^2 + n + 2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A160160 (Toothpick sequence in the three-dimensional grid)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A002379 (a(n) = floor(3^n / 2^n))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A027480 (a(n) = n*(n+1)*(n+2)/2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A005282 (Mian-Chowla sequence)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A108917 (Number of knapsack partitions of n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^"A000217 - OEIS".oeis.org. Retrieved2024-11-29.
^Sloane, N. J. A. (ed.)."Sequence A005900 (Octahedral numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A001599 (Harmonic or Ore numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A316983 (Number of non-isomorphic self-dual multiset partitions of weight n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A005899 (Number of points on surface of octahedron with side n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A003001 (Smallest number of multiplicative persistence n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A000292 (Tetrahedral numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-11.
^Sloane, N. J. A. (ed.)."Sequence A000975 (Lichtenberg sequence)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A000979 (Wagstaff primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-11.
^Sloane, N. J. A. (ed.)."Sequence A000070 (a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A001844 (Centered square numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-11.
^Sloane, N. J. A. (ed.)."Sequence A050535 (Number of multigraphs on infinite set of nodes with n edges)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^^a ^bSloane, N. J. A. (ed.)."Sequence A033553 (3-Knödel numbers or D-numbers: numbers n > 3 such that n divides k^(n-2)-k for all k with gcd(k, n) = 1)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A030984 (2-automorphic numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2021-09-01.
^Sloane, N. J. A. (ed.)."Sequence A000787 (Strobogrammatic numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A000123 (Number of binary partitions: number of partitions of 2n into powers of 2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A045943 (Triangular matchstick numbers: a(n) = 3*n*(n+1)/2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A049363 (a(1) = 1; for n > 1, smallest digitally balanced number in base n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^Sloane, N. J. A. (ed.)."Sequence A076185 (Numbers n such that n!! + 2 is prime)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-31.
^Sloane, N. J. A. (ed.)."Sequence A006851 (Trails of length n on honeycomb lattice)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-18.
^"Colorado is a rectangle? Think again". 23 January 2023.
^Sloane, N. J. A. (ed.)."Sequence A045636 (Numbers of the form p^2 + q^2, with p and q primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.

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