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

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, 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, 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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Formula

Equals Pi/12 - log(2)/4.

Example

0.0885125926591631091842455849087477649975557496911950048844...

Maple

evalf(Sum(1/(k*sinh(Pi*k)), k=1..infinity), 120);
evalf(Pi/12 - log(2)/4, 120);

Mathematica

Join[{0}, RealDigits[Pi/12 - Log[2]/4, 10, 120][[1]]]

Prog

(PARI) suminf(k=1, 1/(k*sinh(Pi*k)))

Crossrefs

Cf. A240964, A335415.

Sequence in context: A112116 A228719 A021117 * A305208 A081799 A154186

Adjacent sequences: A335411 A335412 A335413 * A335415 A335416 A335417

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jun 08 2020

Status

approved