A368447 Expansion of e.g.f. exp(-x) / (1 + log(1 - 3*x)).

1, 2, 22, 305, 5767, 136526, 3883258, 128933255, 4893787021, 208996349714, 9917947451590, 517743558041981, 29485295251306867, 1819129033610512958, 120867373194394631242, 8604378456170991789779, 653370570548903023444249, 52714379598185711313436226

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

a(n) = (-1)^n + Sum_{k=1..n} 3^k * (k-1)! * binomial(n,k) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+sum(j=1, i, 3^j*(j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A330149, A368446.

Sequence in context: A367979 A256928 A349107 * A299824 A355724 A266888

Adjacent sequences: A368444 A368445 A368446 * A368448 A368449 A368450

Keyword

nonn

Author

Seiichi Manyama, Dec 24 2023

Status

approved