A158829 Antidiagonal sums of square array A158825, in which row n lists the coefficients of the n-th iteration of x*C(x), where C(x) is the Catalan function (A000108).

1, 1, 2, 5, 15, 52, 202, 861, 3972, 19648, 103500, 577443, 3396804, 20988116, 135770140, 916936351, 6449233093, 47137434787, 357331341987, 2804582808108, 22754919576652, 190578011064394, 1645490708244886, 14629351150837605

Offset: 1

Author

Paul D. Hanna, Mar 28 2009

Keywords

• nonn

Crossrefs

Cf. A158825, A158826, A158827, A158828.

Programs

PARI

{a(n)=local(F=serreverse(x-x^2+O(x^(n+1))),G=x,ADS=0); for(k=1,n,G=x;for(i=1,n-k,G=subst(F,x,G));ADS=ADS+polcoeff(G,k));ADS}