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A282853

36-gonal numbers: a(n) = n*(17*n-16).

0, 1, 36, 105, 208, 345, 516, 721, 960, 1233, 1540, 1881, 2256, 2665, 3108, 3585, 4096, 4641, 5220, 5833, 6480, 7161, 7876, 8625, 9408, 10225, 11076, 11961, 12880, 13833, 14820, 15841, 16896, 17985, 19108, 20265, 21456, 22681, 23940, 25233

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OFFSET

0,3

LINKS

Harvey P. Dale,Table of n, a(n) for n = 0..1000

Index to sequences related to polygonal numbers

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

FromNikolaos Pantelidis, Feb 09 2023 : (Start)

G.f.: x*(1 + 33*x)/(1 - x)^3.

E.g.f.: exp(x)*(x + 17*x^2). (End)

MATHEMATICA

Table[n(34n-32)/2, {n, 50}]

PolygonalNumber[36, Range[0, 50]] (* or *) LinearRecurrence[{3, -3, 1}, {0, 1, 36}, 50] (*Harvey P. Dale, Apr 18 2025 *)

PROG

(PARI) for(n=0, 100, print1(n*(17*n-16), ", ")) \\Derek Orr, Feb 27 2017

CROSSREFS

Cf.A254474,A261191,A001107.

Sequence in context:A014738 A182677 A076768 *A341046 A162940 A250426

Adjacent sequences:A282850 A282851 A282852 *A282854 A282855 A282856

KEYWORD

nonn,easy

AUTHOR

So Jung Kim, Feb 23 2017

STATUS

approved