cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A335414 Decimal expansion of Sum_{k>=1} 1/(k*sinh(Pi*k)).

This page as a plain text file.
%I A335414 #6 Jun 08 2020 11:08:11
%S A335414 0,8,8,5,1,2,5,9,2,6,5,9,1,6,3,1,0,9,1,8,4,2,4,5,5,8,4,9,0,8,7,4,7,7,
%T A335414 6,4,9,9,7,5,5,5,7,4,9,6,9,1,1,9,5,0,0,4,8,8,4,4,0,8,7,1,3,6,5,2,3,0,
%U A335414 2,9,6,1,6,9,8,0,9,3,7,3,7,6,5,0,8,7,0,4,0,3,6,9,6,0,7,1,7,5,0,4,4,6,3,4,5,3
%N A335414 Decimal expansion of Sum_{k>=1} 1/(k*sinh(Pi*k)).
%F A335414 Equals Pi/12 - log(2)/4.
%e A335414 0.0885125926591631091842455849087477649975557496911950048844...
%p A335414 evalf(Sum(1/(k*sinh(Pi*k)), k=1..infinity), 120);
%p A335414 evalf(Pi/12 - log(2)/4, 120);
%t A335414 Join[{0}, RealDigits[Pi/12 - Log[2]/4, 10, 120][[1]]]
%o A335414 (PARI) suminf(k=1, 1/(k*sinh(Pi*k)))
%Y A335414 Cf. A240964, A335415.
%K A335414 nonn,cons
%O A335414 0,2
%A A335414 _Vaclav Kotesovec_, Jun 08 2020