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

Author

Vaclav Kotesovec, Sep 21 2014

Keywords

• nonn
• cons

Examples

			0.04615145130591420884656838354174674728274955974710537814789097038...
		

Links

• 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

Crossrefs

Cf. A003483.

Programs

Maple

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

PARI

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