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A212879 Decimal expansion of the absolute value of i!. 12

%I #20 Jun 07 2021 10:14:05

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

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

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

%N Decimal expansion of the absolute value of i!.

%C Also absolute value of Gamma(i).

%H G. C. Greubel, <a href="/A212879/b212879.txt">Table of n, a(n) for n = 0..5000</a>

%F abs(Gamma(i)), since i! = Gamma(1+i) = i*Gamma(i).

%F Equals sqrt(Pi/sinh(Pi)). - _Vaclav Kotesovec_, Dec 10 2015

%e 0.5215640468649398411581802696...

%t N[Sqrt[Pi/Sinh[Pi]], 103] (* _Vaclav Kotesovec_, Dec 10 2015 *)

%o (PARI) abs(gamma(I))

%Y A090986, A212877 (real(i!)), A212878 (-imag(i!)), A212880 (-arg(i!)).

%K nonn,cons,easy

%O 0,1

%A _Stanislav Sykora_, May 29 2012

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)