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A288268 E.g.f.: exp(Sum_{k>=1} (k-1)*x^k/k). 2
1, 0, 1, 4, 21, 136, 1045, 9276, 93289, 1047376, 12975561, 175721140, 2581284541, 40864292184, 693347907421, 12548540320876, 241253367679185, 4909234733857696, 105394372192969489, 2380337795595885156, 56410454014314490981, 1399496554158060983080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..444

FORMULA

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

PROG

(PARI) {a(n) = n!*polcoeff(exp(sum(k=1, n, (k-1)*x^k/k)+x*O(x^n)), n)}

CROSSREFS

Cf. A052852, A052887, A288269.

Sequence in context: A209881 A052852 A288869 * A265952 A121124 A180399

Adjacent sequences:  A288265 A288266 A288267 * A288269 A288270 A288271

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 20 2017

STATUS

approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)