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Decimal expansion of 1/sqrt(32).
12

%I #23 Aug 21 2023 10:16:38

%S 1,7,6,7,7,6,6,9,5,2,9,6,6,3,6,8,8,1,1,0,0,2,1,1,0,9,0,5,2,6,2,1,2,2,

%T 5,9,8,2,1,2,0,8,9,8,4,4,2,2,1,1,8,5,0,9,1,4,7,0,8,4,9,6,7,2,4,8,8,4,

%U 1,5,5,9,8,0,7,7,6,3,3,7,9,8,5,6,2,9,8,4,4,1,7,9,0,9,5,5,1,9,6

%N Decimal expansion of 1/sqrt(32).

%C Equals 0.176777... = 5*sqrt(2)/40, which is a tenth of sum_{n = 1 .. infinity} n^2*binomial(2n, n)/8^n [D. H. Lehmer, Am. Math. Monthly 92 (1985) 449]. - _R. J. Mathar_, Mar 04 2009

%H Ivan Panchenko, <a href="/A020789/b020789.txt">Table of n, a(n) for n = 0..1000</a>

%H Albert Einstein, <a href="http://www.lorentz.leidenuniv.nl/history/Einstein_archive/Einstein_1925_manuscript/Pages/Einstein_1925_15a.html">Quantum theory of monatomic ideal gases</a> (coefficient appears as 0.1768 in the first formula)

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%e 0.176776695296636881100211090526212259821208984422118509147...

%t RealDigits[N[1/Sqrt[32], 200]] (* _Vladimir Joseph Stephan Orlovsky_, May 30 2010 *)

%K nonn,cons

%O 0,2

%A _N. J. A. Sloane_.

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Last modified September 21 12:34 EDT 2024. Contains 376084 sequences. (Running on oeis4.)