A128329 Main diagonal of table A128325.

1, 1, 4, 30, 321, 4389, 72512, 1399755, 30865353, 764755508, 21024535960, 634924059276, 20890221475598, 743727414390456, 28484480606420928, 1167761832049224515, 51022550712426870397, 2366859765773183488674

Offset: 0

Author

Paul D. Hanna, Mar 11 2007

Keywords

• nonn

Crossrefs

Cf. A030266; A128325 (table), A128326 (row 1), A128327 (row 2), A128328 (row 3).

Programs

PARI

{a(n)=local(A=1+x,B);for(i=0,n,A=1+x*A*subst(A,x,x*A+x*O(x^n))); B=A;for(i=1,n,B=subst(B,x,x*A+x*O(x^n)));polcoeff(B,n)}

Formula

a(n) = [x^n] {1 + H(x)}, where H(x) is the (n+2)-th self-composition of G(x) and G(x) = x + x*G(G(x)) is the g.f. of A030266.