A129063 Third column (m=2) of triangle A129062 and second column of triangle A079641.

1, 6, 36, 250, 2040, 19334, 209580, 2562354, 34915680, 524986462, 8636859924, 154357103498, 2978418173640, 61718786864310, 1367098836863868, 32236969655283682, 806313056758966320, 21322699350055313678, 594440128269066768612, 17424632249851351374906

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..422

Formula

a(n) = A129062(n+2,2), n>=0.

a(n) = A079641(n+1,1), n>=0.

E.g.f.: (d^2/dx^2)((-log(2-exp(x)))^2)/2.

E.g.f.: d/dx (f(x) * Integral f(x) dx), where f(x) = exp(x)/(2-exp(x)), cf. A000629. - Seiichi Manyama, Oct 22 2019

a(n) ~ n! * n * log(n) / (log(2))^(n+2) * (1 + (gamma - log(2) - log(log(2))) / log(n)), where gamma is the Euler-Mascheroni constant A001620. - Vaclav Kotesovec, Oct 22 2019

Prog

(PARI) N=20; x='x+O('x^N); f=exp(x)/(2-exp(x)); Vec(serlaplace(deriv(f*intformal(f)))) \\ Seiichi Manyama, Oct 22 2019

Crossrefs

A000629 gives second, resp. first column of A129062, resp. A079641.

Cf. A180875.

Sequence in context: A199422 A049431 A049428 * A367260 A366496 A366500

Adjacent sequences: A129060 A129061 A129062 * A129064 A129065 A129066

Keyword

nonn,easy

Author

Wolfdieter Lang, May 04 2007

Status

approved