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A363357
E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))).
3
1, 1, 7, 85, 1581, 39501, 1244953, 47426373, 2120506489, 108894505753, 6317267871501, 408637512353049, 29164082035045477, 2276557391070945477, 192956160476285907457, 17647873882378895267821, 1732445579330211460781937, 181694902682241512454842673
OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(k,n-k)/k!.
PROG
(PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(k, n-k)/k!);
CROSSREFS
Cf. A361142.
Sequence in context: A361065 A056547 A293055 * A121020 A060237 A000424
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 17 2023
STATUS
approved