A377494 -id:A377494 - cp's OEIS frontend

A377492 E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x*A(x)))^2.

1, 2, 24, 562, 19974, 958468, 58085192, 4258862844, 366713780800, 36281317505040, 4056212559155664, 505750435243636944, 69586186789180895904, 10473322720889293098624, 1711744141030969885684320, 301912919501972279345773920, 57159241548809543158165770240

Offset: 0

Seiichi Manyama, Oct 29 2024

nonn

Cf. A367159, A377493.

Cf. A377411, A377494.

a(n) = 2*sum(k=0, n, (2*n+3*k+1)!/(2*n+2*k+2)!*abs(stirling(n, k, 1)));

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377494.

a(n) = 2 * Sum_{k=0..n} (2*n+3*k+1)!/(2*n+2*k+2)! * |Stirling1(n,k)|.

A377497 E.g.f. satisfies A(x) = 1/(1 + A(x)^3 * log(1 - x*A(x)^3)).

Original entry on oeis.org

1, 1, 15, 473, 23194, 1552084, 131908394, 13608546720, 1652258848656, 230829590868312, 36477894965606568, 6433858542834018240, 1252941162992516179776, 267027040073238416997024, 61819211233387513530840048, 15449035083850090935613775808, 4145148327496835979697002921216

Offset: 0

Seiichi Manyama, Oct 30 2024

nonn

Cf. A007840, A367159, A377494.

a(n) = sum(k=0, n, (3*n+4*k)!/(3*n+3*k+1)!*abs(stirling(n, k, 1)));

a(n) = Sum_{k=0..n} (3*n+4*k)!/(3*n+3*k+1)! * |Stirling1(n,k)|.

cp's OEIS Frontend

A377492 E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x*A(x)))^2.

Views

Author

Keywords

Crossrefs

Programs

PARI

Formula