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A363479
E.g.f. satisfies A(x) = exp(x * A(x)^3 * (1 + x * A(x)^3)).
2
1, 1, 9, 160, 4381, 162816, 7663669, 437164288, 29317265625, 2260685099008, 197088986941921, 19170218777296896, 2058199476739788661, 241779221463040000000, 30847476924400409437389, 4247859315849037948911616, 627960846411135123552180529
OFFSET
0,3
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. A361094.
Sequence in context: A060348 A365016 A367163 * A217392 A327978 A062232
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 17 2023
STATUS
approved