A384858 E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^8)^3 ).

1, 1, 7, 136, 3781, 163216, 9103699, 646696576, 55084545289, 5491386074368, 625131329307391, 79898089652402176, 11312691034562944525, 1755128489880477528064, 295767148537661982373963, 53734366029378178883731456, 10459045695948264117117132049, 2169330513346145105101803814912

Offset: 0

Author

Seiichi Manyama, Jun 10 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384862.

Cf. A052752, A213112, A213113, A384855, A384856, A384857.

Programs

PARI

a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, (-8*n+8*j+k)^(j-1)*binomial(n, j)*a(n-j, 3*j)));

Formula

See A384862.