A377452 -id:A377452 - cp's OEIS frontend

A377454 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^4.

1, 4, 56, 1384, 50216, 2422024, 146279816, 10633540264, 904699882856, 88234503004744, 9707888368200776, 1189726637663987944, 160741241332049376296, 23738834426406792534664, 3804763374380021378204936, 657774175587674349626736424, 122016250347540672925706274536

Offset: 0

Seiichi Manyama, Oct 28 2024

nonn

Cf. A052895, A377452, A377453.

Cf. A377451.

a(n) = 4*sum(k=0, n, (5*k+3)!/(4*k+4)!*stirling(n, k, 2));

E.g.f.: B(x)^4, where B(x) is the e.g.f. of A377451.

a(n) = 4 * Sum_{k=0..n} (5*k+3)!/(4*k+4)! * Stirling2(n,k).

A377453 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^3.

Original entry on oeis.org

1, 3, 33, 639, 18177, 687663, 32585793, 1858893039, 124128928257, 9502575055983, 820716875385153, 78959656742857839, 8375163183606235137, 971063889443489669103, 122194096152956362997313, 16586054767142612489229039, 2415658529914018225123490817, 375779208568915395913102663023

Offset: 0

Seiichi Manyama, Oct 28 2024

nonn

Cf. A052895, A377452, A377454.

Cf. A377450.

a(n) = 3*sum(k=0, n, (4*k+2)!/(3*k+3)!*stirling(n, k, 2));

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377450.

a(n) = 3 * Sum_{k=0..n} (4*k+2)!/(3*k+3)! * Stirling2(n,k).

cp's OEIS Frontend

A377454 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^4.

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