A108992 Second 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, 2, 9, 76, 1025, 19656, 495964, 15629720, 593136513, 26392662280, 1349451117586, 78039195326676, 5040212158570043, 359802563875687310, 28145720807393650140, 2395126209579348837776, 220346109158340083116065

Offset

0,2

Links

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

Formula

a(n) = A108990(n+1, n) for n>=0. a(n) = (n+1)*A108993(n).

Prog

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

Crossrefs

Cf. A108990, A108991, A108993, A108994, A108995, A108996.

Sequence in context: A276742 A123680 A132621 * A058164 A006059 A277406

Adjacent sequences: A108989 A108990 A108991 * A108993 A108994 A108995

Keyword

nonn

Author

Paul D. Hanna, Jun 15 2005

Status

approved