A124538 Antidiagonal sums of rectangular table A124530.

1, 2, 3, 5, 11, 33, 125, 551, 2695, 14258, 80343, 477161, 2964299, 19155014, 128203704, 885830074, 6302476880, 46077527307, 345590801495, 2655466079629, 20880388012659, 167861200630015, 1378589193074514, 11558511053625488

Offset

0,2

Comments

In table A124530, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k*R_k(y)^(n*k) for n>=0.

Links

Table of n, a(n) for n=0..23.

Prog

(PARI) a(n)=local(R); R=vector(n+1, r, vector(n+1, c, if(r==1 || c<=2, 1, r^(c-2)))); for(i=0, n, for(r=0, n, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); sum(k=0, n, R[n-k+1][k+1])

Crossrefs

Cf. A124530 (table).

Sequence in context: A007097 A173422 A132745 * A124627 A305971 A064095

Adjacent sequences: A124535 A124536 A124537 * A124539 A124540 A124541

Keyword

nonn

Author

Paul D. Hanna, Nov 05 2006

Status

approved