A368452 Expansion of e.g.f. exp(-x) / (1 + log(1 - 3*x)/3).

1, 0, 4, 29, 351, 5288, 96844, 2084787, 51569293, 1440778760, 44860522140, 1540040695961, 57780774428299, 2351977512750864, 103224895866407236, 4858737892917301679, 244142543354321358297, 13043294582176082455088, 738250195765281754969108

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = (-1)^n + Sum_{k=1..n} 3^(k-1) * (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-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A330149, A368451.

Sequence in context: A137646 A231498 A168602 * A000798 A135485 A210526

Adjacent sequences: A368449 A368450 A368451 * A368453 A368454 A368455

Keyword

nonn

Author

Seiichi Manyama, Dec 24 2023

Status

approved