A384943 G.f. A(x) satisfies A(x) = 1 + x/A(-x*A(x))^6.

1, 1, 6, -9, -244, -39, 11262, 36971, -268890, -3724293, -24899558, 159971919, 3851093928, 9663394063, -197371002600, -2108992348026, -9447769941412, 111942512192787, 2253965670439788, 7917705821761592, -100488750700889250, -1520857626228210483

Offset: 0

Author

Seiichi Manyama, Jun 13 2025

Keywords

• sign

Crossrefs

Column k=1 of A384946.

Cf. A002295, A213105.

Cf. A000012, A384894, A384896, A384941, A384942.

Programs

PARI

a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, binomial(-n+2*j+k-1, j-1)*a(n-j, 6*j)/j));

Formula

See A384946.