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Nested Radical Constant
The nested radical constant is the constant defined by
 |  |  | (1) |
 |  |  | (2) |
(OEISA072449).
No closed-form expression is known for this constant (Finch 2003, p. 8; S. Plouffe, pers. comm., Aug. 29, 2008).
See also
Nested Radical,Somos'sQuadratic Recurrence ConstantExplore with Wolfram|Alpha
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References
Borwein, J. M. and de Barra, G. "Nested Radicals."Amer. Math. Monthly98, 735-739, 1991.Clawson, C. C.Mathematical Mysteries: The Beauty and Magic of Numbers Cambridge, MA: Perseus, pp. 142 and 299, 1996.Finch, S. R. "Analysis of a Radical Expansion." §1.2.1 inMathematical Constants. Cambridge, England: Cambridge University Press, p. 8, 2003.Honsberger, R.More Mathematical Morsels. Washington, DC: Math. Assoc. Amer., pp. 140-144, 1991.Sloane, N. J. A. SequenceA072449 in "The On-Line Encyclopedia of Integer Sequences."Wells, D.The Penguin Dictionary of Curious and Interesting Numbers, rev. ed. Middlesex, England: Penguin Books, p. 30, 1997.Wolfram, S.A New Kind of Science. Champaign, IL: Wolfram Media, p. 915, 2002.Referenced on Wolfram|Alpha
Nested Radical ConstantCite this as:
Weisstein, Eric W. "Nested Radical Constant."FromMathWorld--A Wolfram Resource.https://mathworld.wolfram.com/NestedRadicalConstant.html