A158837 Column 1 of triangle A158835.

1, 2, 11, 94, 1072, 15212, 257777, 5074738, 113775490, 2861365660, 79763482974, 2440866020252, 81343355108428, 2932370770780016, 113695507437209845, 4717853729131352186, 208615291319607614600, 9792578421235713418464

Offset

0,2

Comments

Triangle A158835 transforms diagonals in the array A158825 of coefficients of successive iterations of x*C(x) where C(x) is the Catalan function (A000108).

Links

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

Prog

(PARI) {a(n)=local(F=x, CAT=serreverse(x-x^2+x*O(x^(n+3))), M, N, P); M=matrix(n+3, n+3, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, CAT)); polcoeff(F, c)); N=matrix(n+2, n+2, r, c, M[r, c]); P=matrix(n+2, n+2, r, c, M[r+1, c]); (P~*N~^-1)[n+2, 2]}

Crossrefs

Cf. A158835, A158836, A158838, A158839, A158840.

Sequence in context: A099697 A346185 A083069 * A236962 A292916 A290586

Adjacent sequences: A158834 A158835 A158836 * A158838 A158839 A158840

Keyword

nonn

Author

Paul D. Hanna, Mar 28 2009

Status

approved