A375870 E.g.f. satisfies A(x) = exp( 2 * (exp(x*A(x)^(3/2)) - 1) ).

1, 2, 18, 310, 8038, 280264, 12313242, 653591922, 40704551630, 2910862397646, 235114931752898, 21172206066055312, 2103333121459719446, 228525476912967164714, 26957670075375556803178, 3431314158743477432894790, 468762478424957403561956702

Offset

0,2

Links

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

Formula

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A349683.

a(n) = 2 * Sum_{k=0..n} (3*n+2)^(k-1) * Stirling2(n,k).

Prog

(PARI) a(n) = 2*sum(k=0, n, (3*n+2)^(k-1)*stirling(n, k, 2));

Crossrefs

Cf. A349683, A375871, A375872.

Cf. A001861, A370056.

Sequence in context: A258922 A192555 A370941 * A350366 A370056 A179497

Adjacent sequences: A375867 A375868 A375869 * A375871 A375872 A375873

Keyword

nonn

Author

Seiichi Manyama, Sep 01 2024

Status

approved