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Decimal expansion of Product_{k>=1} (1 + exp(-Pi*k/2)).
9

%I #4 Sep 24 2017 09:03:54

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

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

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

%N Decimal expansion of Product_{k>=1} (1 + exp(-Pi*k/2)).

%F Equals exp(Pi/48) / (2^(1/16) * (sqrt(2)-1)^(1/4)).

%F Equals A259148 / A259147.

%e 1.274394985635799307203533971922303756193562507866370867427400202064220...

%t RealDigits[E^(Pi/48) / (2^(1/16) * (Sqrt[2]-1)^(1/4)), 10, 120][[1]]

%t RealDigits[QPochhammer[-1, E^(-Pi/2)]/2, 10, 120][[1]]

%Y Cf. A259147, A292823, A292827.

%Y Cf. A292820, A292821, A292822.

%K nonn,cons

%O 1,2

%A _Vaclav Kotesovec_, Sep 24 2017