A365438 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^2)/A(x).

1, 1, 3, 20, 216, 3214, 60940, 1405088, 38165904, 1193631360, 42244603368, 1669171435392, 72834612333120, 3478615044283872, 180496518526631424, 10110668949900238848, 608110470593816945664, 39086875354688578492416, 2673826803093451383429120

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

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

Prog

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

Crossrefs

Cf. A138013, A365546.

Sequence in context: A014068 A006963 A243426 * A113333 A206405 A307363

Adjacent sequences: A365435 A365436 A365437 * A365439 A365440 A365441

Keyword

nonn

Author

Seiichi Manyama, Nov 08 2023

Status

approved