A384975 G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x)^5)^3.

1, 1, 4, 16, 77, 303, 718, -4934, -108553, -1275290, -12473324, -107472840, -826679323, -5418440094, -24911021972, 28733788740, 2764189150143, 48003187278203, 629585195050804, 7164019744705726, 73396269512625553, 677866973062726837, 5460528984809591552

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

See A384978.

Prog

(PARI) a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, binomial(-5*n+5*j+k-1, j-1)*a(n-j, 3*j)/j));

Crossrefs

Column k=1 of A384978.

Sequence in context: A386793 A049426 A345889 * A057725 A196192 A367261

Adjacent sequences: A384972 A384973 A384974 * A384976 A384977 A384978

Keyword

sign

Author

Seiichi Manyama, Jun 14 2025

Status

approved