A361531 Expansion of e.g.f. exp(1 - exp(x) + x^3/6).

1, -1, 0, 2, -3, -2, 21, -44, -62, 631, -1367, -3170, 34849, -86855, -302964, 3058342, -8509971, -36488802, 430842051, -1111575888, -6244999438, 78663444549, -250850311489, -1724880111306, 18475299723737, -65061274823853, -444914618968648, 6831921081061986

Offset

0,4

Links

Table of n, a(n) for n=0..27.

Formula

a(0) = 1, a(1) = -1, a(2) = 0; a(n) = binomial(n-1,2) * a(n-3) - Sum_{k=1..n} binomial(n-1,k-1) * a(n-k).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(1-exp(x)+x^3/6)))

Crossrefs

Cf. A293037, A337062.

Cf. A124504, A361489.

Sequence in context: A025522 A350622 A019228 * A332734 A178134 A369190

Adjacent sequences: A361528 A361529 A361530 * A361532 A361533 A361534

Keyword

sign,easy

Author

Seiichi Manyama, Mar 14 2023

Status

approved