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A129063 Third column (m=2) of triangle A129062 and second column of triangle A079641. 3
1, 6, 36, 250, 2040, 19334, 209580, 2562354, 34915680, 524986462, 8636859924, 154357103498, 2978418173640, 61718786864310, 1367098836863868, 32236969655283682, 806313056758966320, 21322699350055313678, 594440128269066768612, 17424632249851351374906 (list; graph; refs; listen; history; text; internal format)
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 * A221461 A090015 A299330

Adjacent sequences:  A129060 A129061 A129062 * A129064 A129065 A129066

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, May 04 2007

STATUS

approved

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Last modified June 20 08:43 EDT 2021. Contains 345162 sequences. (Running on oeis4.)