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A294395 E.g.f.: exp(Sum_{n>=1} A050999(n) * x^n). 4
1, 1, 3, 67, 289, 5121, 71731, 861043, 18134817, 303946849, 6724342531, 146426154051, 3533373668353, 93259190078497, 2489644674735219, 75193364720030131, 2265438714279130561, 74716734198386887233, 2543592184722884351107, 90853513680763023292099 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k*A050999(k)*a(n-k)/(n-k)! for n > 0.

PROG

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, N, sumdiv(k, d, d^2*(d%2))*x^k))))

CROSSREFS

E.g.f.: exp(Sum_{n>=1} (Sum_{d|n and d is odd} d^k) * x^n): A294392 (k=0), A294394 (k=1), this sequence (k=2).

Cf. A050999, A262811.

Sequence in context: A263549 A225191 A201857 * A186208 A217625 A238316

Adjacent sequences:  A294392 A294393 A294394 * A294396 A294397 A294398

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 30 2017

STATUS

approved

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Last modified August 22 16:17 EDT 2019. Contains 326178 sequences. (Running on oeis4.)