A158836 Column 0 of triangle A158835.

1, 1, 4, 27, 254, 3062, 45052, 783151, 15712342, 357459042, 9094926988, 255939571048, 7893741230500, 264806871279676, 9600056691219936, 374033821840909263, 15586672520501193866, 691789220336675178652

Offset

0,3

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

Paul D. Hanna, Table of n, a(n), n = 0..50.

Prog

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

Crossrefs

Cf. A158835, A158837, A158838, A158839, A158840.

Sequence in context: A239368 A245408 A243696 * A350276 A350275 A239380

Adjacent sequences: A158833 A158834 A158835 * A158837 A158838 A158839

Keyword

nonn

Author

Paul D. Hanna, Mar 28 2009

Status

approved