A367876 Expansion of e.g.f. exp(x * (2 - exp(x))).

1, 1, -1, -8, -15, 46, 445, 1240, -4319, -63782, -282219, 474508, 16681489, 119013142, 137086573, -6217558664, -73971468351, -333213031502, 2327570156197, 58209718600324, 509023624616881, 613709076338926, -48850389688059651, -773649504707845328

Offset

0,4

Links

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

Formula

G.f.: Sum_{k>=0} (-x)^k / (1 - (k+2)*x)^(k+1).

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

Prog

(PARI) a(n) = sum(k=0, n, (-1)^k*(k+2)^(n-k)*binomial(n, k));

Crossrefs

Cf. A367874, A367877.

Sequence in context: A275277 A341117 A255428 * A216443 A331463 A362906

Adjacent sequences: A367873 A367874 A367875 * A367877 A367878 A367879

Keyword

sign,easy

Author

Seiichi Manyama, Dec 03 2023

Status

approved