嵌套根式常数是由以下公式定义的常数
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(1)
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(2)
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(OEIS A072449)。
这个常数没有已知的闭合形式表达式（Finch 2003，第 8 页；S. Plouffe，私人通讯，2008 年 8 月 29 日）。
嵌套根式常数
另请参阅
嵌套根式, Somos 二次递归常数使用 Wolfram|Alpha 探索
参考文献
Borwein, J. M. and de Barra, G. "Nested Radicals." Amer. Math. Monthly 98, 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 in Mathematical 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. Sequence A072449 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.在 Wolfram|Alpha 中被引用
嵌套根式常数请引用为
Weisstein, Eric W. "Nested Radical Constant." 来自 MathWorld--Wolfram 网络资源。 https://mathworld.net.cn/NestedRadicalConstant.html