A363479 E.g.f. satisfies A(x) = exp(x * A(x)^3 * (1 + x * A(x)^3)).

1, 1, 9, 160, 4381, 162816, 7663669, 437164288, 29317265625, 2260685099008, 197088986941921, 19170218777296896, 2058199476739788661, 241779221463040000000, 30847476924400409437389, 4247859315849037948911616, 627960846411135123552180529

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

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

Prog

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

Crossrefs

Cf. A088695, A363358.

Cf. A361094.

Sequence in context: A060348 A365016 A367163 * A217392 A327978 A062232

Adjacent sequences: A363476 A363477 A363478 * A363480 A363481 A363482

Keyword

nonn

Author

Seiichi Manyama, Aug 17 2023

Status

approved