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A308499 Expansion of e.g.f. log(1 + Sum_{k>=1} (k+1)*(k+2)/6 * x^k). 1
0, 1, 3, 10, 34, 104, 200, -400, -2800, 85120, 2163840, 30240000, 285331200, 1247769600, -15759744000, -392840448000, -1587505920000, 123384188928000, 4345827053568000, 82159404687360000, 749393890172928000, -10215518583029760000, -570363673124044800000, -9916595355495628800000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..23.

FORMULA

a(n) = (1/6) * ((n+2)! - Sum_{k=1..n-1} binomial(n-1,k) * (k+2)! * a(n-k)).

PROG

(PARI) {a(n) = if (n<1, 0, ((n+2)!-sum(k=1, n-1, binomial(n-1, k)*(k+2)!*a(n-k)))/6)}

CROSSREFS

Column k=3 of A308497.

Sequence in context: A145928 A006535 A041633 * A034215 A193036 A083580

Adjacent sequences:  A308496 A308497 A308498 * A308500 A308501 A308502

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jun 01 2019

STATUS

approved

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Last modified November 17 23:26 EST 2019. Contains 329242 sequences. (Running on oeis4.)