A367829 - OEIS

A367829

E.g.f. A(x) satisfies A(x) = (1 - log(1 - x) * A(3*x)) / (1 - x).

1, 2, 17, 530, 60332, 24882484, 36501847110, 186651759218364, 3267898148335418280, 193010228785740170125728, 37993098362777240856612204096, 24678625994736515097158433120107040, 52461378922253347510159057679901573120528

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

FORMULA

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

PROG

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

CROSSREFS

Cf. A052820, A367828.

Cf. A355087, A367831, A367846.

Sequence in context: A220476 A293178 A367831 * A172341 A356502 A007759

Adjacent sequences: A367826 A367827 A367828 * A367830 A367831 A367832

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 02 2023

STATUS

approved