A019633 - OEIS

%I #29 Sep 08 2022 08:44:44

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

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

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

%N Decimal expansion of sqrt(2*Pi*e).

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 220.

%H G. C. Greubel, <a href="/A019633/b019633.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from Ivan Panchenko)

%F Equals 2*A059444. - _Michel Marcus_, May 13 2014

%F Equals Integral_{x>=0} exp(-log(x)^2/2) dx. - _Amiram Eldar_, Apr 07 2021

%t RealDigits[Sqrt[2Pi E],10,120][[1]] (* _Harvey P. Dale_, Apr 16 2013 *)

%o (PARI) sqrt(2*Pi*exp(1)) \\ _Charles R Greathouse IV_, May 14 2014

%o (Magma) C<i> := ComplexField(); Sqrt(2*Pi(C)*Exp(1)); // _G. C. Greubel_, Jan 28 2018

%Y Cf. A059444.

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_, Dec 11 1996