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Decimal expansion of Product_{k>=1} (1 + exp(-Pi*k)).
11

%I #5 Mar 13 2018 12:40:28

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

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

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

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

%F Equals exp(Pi/24) / 2^(1/8).

%F Equals A259149 / A259148.

%e 1.045250214354711942547595012203562068003424782155586915500520985257117...

%t RealDigits[E^(Pi/24) / 2^(1/8), 10, 120][[1]]

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

%o (PARI) exp(Pi/24)/sqrtn(2,8) \\ _Charles R Greathouse IV_, Mar 13 2018

%Y Cf. A259148, A292824, A292828, A292819, A292821, A292822.

%K nonn,cons

%O 1,3

%A _Vaclav Kotesovec_, Sep 24 2017