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A064853 Lemniscate constant. 7

%I

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

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

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

%N Lemniscate constant.

%H Harry J. Smith, <a href="/A064853/b064853.txt">Table of n, a(n) for n = 1..5000</a>

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

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

%F Equals Gamma(1/4)^2/sqrt(2*Pi). - _G. C. Greubel_, Oct 07 2018

%e 5.244115108584239620929679...

%t First@RealDigits[ N[ Gamma[ 1/4 ]^2/Sqrt[ 2 Pi ], 102 ] ]

%o (PARI) { allocatemem(932245000); default(realprecision, 5080); x=gamma(1/4)^2/sqrt(2*Pi); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b064853.txt", n, " ", d)); } \\ _Harry J. Smith_, Jun 20 2009

%o (MAGMA) SetDefaultRealField(RealField(100)); R:= RealField(); Gamma(1/4)^2/Sqrt(2*Pi(R)); // _G. C. Greubel_, Oct 07 2018

%K nonn,cons,easy

%O 1,1

%A _Eric W. Weisstein_, Sep 22 2001

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Last modified January 26 09:17 EST 2021. Contains 340435 sequences. (Running on oeis4.)