A108991 Main diagonal of triangle A108990, in which the g.f. of row n, R_n(x), satisfies: [x^k] R_{n+1}(x) = [x^k] (1 + x*R_n(x))^(n+1) for k=0..n+1.

1, 1, 3, 22, 287, 5496, 139727, 4447234, 170501039, 7661336692, 395314147319, 23054541596934, 1500572569678932, 107886158725753318, 8494969789519239340, 727287072573544716489, 67284371697225428990319

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Prog

(PARI) {a(n)=local(F=1+x*O(x^n)); for(m=1, n, F=(1+x*F)^m); polcoeff(F, n)}

Crossrefs

Cf. A108990, A108992, A108993, A108994, A108995, A108996.

Sequence in context: A206801 A135862 A122778 * A247659 A244468 A325295

Adjacent sequences: A108988 A108989 A108990 * A108992 A108993 A108994

Keyword

nonn

Author

Paul D. Hanna, Jun 15 2005

Status

approved