A124547 Main diagonal of rectangular table A124540.

1, 1, 7, 73, 939, 13976, 233241, 4282895, 85445683, 1834958107, 42110641373, 1026677317227, 26462793170760, 718141884712500, 20446913056248836, 608923223179959780, 18917094810892717955, 611616504412815339432

Offset

0,3

Comments

In table A124540, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k*R_k(y)^n ]^n for n>=0.

Links

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

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)))))); Vec(Ser(R[n+1])^n+O(x^(n+1)))[n+1]

Crossrefs

Cf. A124540, A124548, A124549.

Sequence in context: A114429 A365846 A365668 * A084363 A321837 A050352

Adjacent sequences: A124544 A124545 A124546 * A124548 A124549 A124550

Keyword

nonn

Author

Paul D. Hanna, Nov 05 2006

Status

approved