login
Decimal expansion of Product_{k>=1} (1 + exp(-2*Pi*k)).
10

%I #5 Mar 13 2018 12:41:42

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

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

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

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

%F Equals exp(Pi/12) / 2^(3/8).

%F Equals A259150 / A259149.

%e 1.001870943123279886463534087967415218083199719502631259194986391297521...

%t RealDigits[E^(Pi/12) / 2^(3/8), 10, 120][[1]]

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

%o (PARI) exp(Pi/12)/sqrtn(8,8) \\ _Charles R Greathouse IV_, Mar 13 2018

%Y Cf. A259149, A292825, A292829, A292819, A292820, A292822.

%K nonn,cons

%O 1,5

%A _Vaclav Kotesovec_, Sep 24 2017