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A087197 Decimal expansion of 1/sqrt(Pi). 25

%I #29 May 27 2021 06:24:26

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

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

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

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

%C Radius of a circle with area 1.

%C Expectation of the maximum of a size 2 sample from a normal (0,1) distribution. - _Jean-François Alcover_, Jun 05 2014

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.16 Extreme value constants, p. 365.

%H G. C. Greubel, <a href="/A087197/b087197.txt">Table of n, a(n) for n = 0..5000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/InverseErf.html">Inverse Erf</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals lim_{n -> infinity} Catalan(n)/(4^n*n^(-3/2)). - _Jean-François Alcover_, May 23 2013

%F Equals Sum_{k>=1} k/(2^k * Gamma(k+3/2)). - _Amiram Eldar_, May 27 2021

%e 0.56418958354775628694...

%t RealDigits[1/Sqrt[Pi], 10, 50][[1]] (* _G. C. Greubel_, Jan 09 2017 *)

%o (PARI) Pi^-.5 \\ _Charles R Greathouse IV_, Nov 13 2015

%Y Cf. A086201, A087198, A087199.

%K cons,easy,nonn

%O 0,1

%A _Sven Simon_, Aug 24 2003

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Last modified May 16 03:14 EDT 2024. Contains 372549 sequences. (Running on oeis4.)