A377494 E.g.f. satisfies A(x) = 1/(1 + A(x)^2 * log(1 - x*A(x)^2)).

1, 1, 11, 248, 8632, 408794, 24550512, 1788220664, 153204336480, 15097630639464, 1682516996213376, 209233809698022240, 28725012833286981456, 4315256340778010888688, 704140465438516958644512, 124020015235118786512297728, 23450965881108082875087150336, 4738390708952218941582313234176

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

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

Crossrefs

Cf. A007840, A367159, A377497.

Cf. A377492.

Sequence in context: A219089 A243683 A377495 * A323255 A167868 A368190

Adjacent sequences: A377491 A377492 A377493 * A377495 A377496 A377497

Keyword

nonn

Author

Seiichi Manyama, Oct 29 2024

Status

approved