A124464 Row 4 of rectangular table A124460.

1, 5, 19, 73, 302, 1325, 6032, 28193, 134825, 659011, 3290110, 16764206, 87103106, 461090076, 2484768459, 13621130998, 75906831145, 429768775851, 2470872560536, 14418770507660, 85367306874021, 512604419523512

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^4, where R_n(x) is the g.f. of row n in table A124460 and satisfies: R_n(x) = Sum_{k>=0} x^k * R_k(x)^n for n>=0.

Prog

(PARI) {a(n)=local(m=max(n, 4), R=vector(m+1, r, vector(m+1, c, binomial(r+c-2, c-1)))); for(i=0, m, for(r=0, m, R[r+1]=Vec(sum(c=0, m, x^c*Ser(R[c+1])^r+O(x^(m+1)))))); R[5][n+1]}

Crossrefs

Cf. A124460 (table); other rows: A124461, A124462, A124463, A124465, A124466.

Sequence in context: A149763 A149764 A149765 * A149766 A254686 A295374

Adjacent sequences: A124461 A124462 A124463 * A124465 A124466 A124467

Keyword

nonn

Author

Paul D. Hanna, Nov 03 2006

Status

approved