A375870 -id:A375870 - cp's OEIS frontend

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

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).

A375872 E.g.f. satisfies A(x) = exp( 4 * (exp(x*A(x)^(3/4)) - 1) ).

Original entry on oeis.org

1, 4, 44, 836, 22980, 832888, 37615340, 2038258804, 128989219860, 9343113460308, 762596057754748, 69273095355130488, 6932765720797549924, 758009268677055714964, 89907747171907593677068, 11498798927333436173636612, 1577528093912610651931113908

Offset: 0

Seiichi Manyama, Sep 01 2024

nonn

Cf. A349683, A375870, A375871.

Cf. A078944, A370058.

a(n) = 4*sum(k=0, n, (3*n+4)^(k-1)*stirling(n, k, 2));

E.g.f.: B(x)^4, where B(x) is the e.g.f. of A349683.

a(n) = 4 * Sum_{k=0..n} (3*n+4)^(k-1) * Stirling2(n,k).

cp's OEIS Frontend

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

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