A384803 E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^4) ).

1, 1, 3, 28, 365, 7456, 198967, 6600448, 260641817, 11805179392, 603174969611, 34119591645184, 2107808150141509, 140656454965522432, 10045467848093258687, 762717885873201995776, 61259933997939643876913, 5188866020593647457533952, 463236056771875012276202899

Offset: 0

Author

Seiichi Manyama, Jun 10 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384804.

Cf. A213108, A213109.

Programs

PARI

a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, (-4*n+4*j+k)^(j-1)*binomial(n, j)*a(n-j, j)));

Formula

See A384804.