A247621 Decimal expansion of Sum_{k>=1} 1/(2*k)-tanh(1/(2*k)).

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

Offset

0,2

Links

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

Philippe Flajolet, Éric Fusy, Xavier Gourdon, Daniel Panario and Nicolas Pouyanne, A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics, arXiv:math.CO/0606370, p. 18

Example

0.04615145130591420884656838354174674728274955974710537814789097038...

Maple

evalf(sum(1/(2*k)-tanh(1/(2*k)), k=1..infinity), 120)

Prog

(PARI) default(realprecision, 150); sumpos(k=1, (1/(2*k)-tanh(1/(2*k))))

Crossrefs

Cf. A003483.

Sequence in context: A343624 A309445 A051261 * A245275 A030169 A263180

Adjacent sequences: A247618 A247619 A247620 * A247622 A247623 A247624

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 21 2014

Status

approved