A124535 Row 5 of rectangular table A124530.

1, 1, 6, 36, 216, 961, 5977, 39363, 271564, 1949165, 14487241, 111115804, 877086405, 7109569724, 59075905996, 502464618671, 4369068613929, 38796820526316, 351496911119002, 3246426019892427, 30543990287835441

Offset

0,3

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..20.

Formula

G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(5n), where R_n(x) is the g.f. of row n in table A124530.

Prog

(PARI) a(n)=local(R); R=vector(n+6, r, vector(n+6, 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)))))); R[6][n+1]

Crossrefs

Cf. A124530 (table); other rows: A124531, A124532, A124533, A124534, A124536.

Sequence in context: A061708 A216127 A337970 * A267789 A228737 A007274

Adjacent sequences: A124532 A124533 A124534 * A124536 A124537 A124538

Keyword

nonn

Author

Paul D. Hanna, Nov 05 2006

Status

approved