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%I #25 Nov 26 2016 02:57:08
%S 3,1,4,2,1,5,3,2,9,2,5,4,2,5,8,0,7,3,3,7,0,0,6,8,3,5,0,4,5,3,1,4,9,6,
%T 6,0,6,9,7,0,5,3,8,3,5,8,4,5,8,1,5,3,0,4,1,9,2,3,4,6,2,5,5,0,3,9,2,2,
%U 3,4,9,8,4,3,9,3,5,4,4,4,0,2,1,4,5,7,5,1,3,4,4,5,7,8,9,4,5,1,4,3,8,3,8,2,6
%N Decimal expansion of sqrt(4*e - 1).
%H G. C. Greubel, <a href="/A135821/b135821.txt">Table of n, a(n) for n = 1..5000</a>
%F Sqrt(Sum_{n>=1}((1/2)*n^3 + (1/2)*n + 1)/n!). - _Alexander R. Povolotsky_, Oct 01 2011
%e 3.1421532925425807337006835045314966069705383584581530419234...
%p Digits:=100: evalf(sqrt(4*exp(1)-1)); # _Wesley Ivan Hurt_, Nov 24 2016
%t RealDigits[Sqrt[4E - 1], 10, 105][[1]] (* _Alonso del Arte_, Oct 01 2011 *)
%o (PARI) sqrt(suminf(n=1, (1/2*n^3+1/2*n+1)/n!)); \\ _Michel Marcus_, Mar 09 2014
%K nonn,cons
%O 1,1
%A _Alexander R. Povolotsky_, Mar 06 2008
%E Offset corrected _R. J. Mathar_, Jan 26 2009
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