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A334402 Decimal expansion of cosh(Pi). 3

%I #10 Aug 10 2020 00:23:33

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

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

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

%N Decimal expansion of cosh(Pi).

%C This constant is transcendental.

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

%F Equals Sum_{k>=0} Pi^(2*k)/(2*k)!.

%F Equals Product_{k>=0} (1 + 4/(2*k+1)^2).

%F Equals Product_{k>=1} (k^2 + 4)/(k^2 + 1). - _Amiram Eldar_, Aug 09 2020

%e (e^Pi + e^(-Pi))/2 = 11.5919532755215206277517520525601...

%t RealDigits[Cosh[Pi], 10, 110] [[1]]

%Y Cf. A000796, A001113, A039661, A068470, A073743, A093580, A175314, A308715, A323982, A334401.

%K nonn,cons

%O 2,3

%A _Ilya Gutkovskiy_, Apr 26 2020

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