A375872 -id:A375872 - cp's OEIS frontend

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

Seiichi Manyama, Sep 01 2024

nonn

Cf. A349683, A375871, A375872.

Cf. A001861, A370056.

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

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).

A375871 E.g.f. satisfies A(x) = exp( 3 * (exp(x*A(x)) - 1) ).

Original entry on oeis.org

1, 3, 30, 543, 14493, 515001, 22930869, 1229340027, 77151412902, 5551075890453, 450607640485269, 40745592546015495, 4061982705195354033, 442649982865922396337, 52351468801767526253538, 6678605910447082873015923, 914198409310749883430655441

Offset: 0

Seiichi Manyama, Sep 01 2024

nonn

Cf. A349683, A375870, A375872.

Cf. A027710, A370057.

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

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A349683.

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

cp's OEIS Frontend

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

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