A158839 Column 3 of triangle A158835.

1, 4, 34, 412, 6325, 116372, 2483706, 60168736, 1628677692, 48672911296, 1590752204044, 56418074957840, 2157411204773415, 88464995576660084, 3871611011946560294, 180101399407072883012, 8873328068327122625596

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..16.

Prog

(PARI) {a(n)=local(F=x, CAT=serreverse(x-x^2+x*O(x^(n+5))), M, N, P); M=matrix(n+5, n+5, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, CAT)); polcoeff(F, c)); N=matrix(n+4, n+4, r, c, M[r, c]); P=matrix(n+4, n+4, r, c, M[r+1, c]); (P~*N~^-1)[n+4, 4]}

Crossrefs

Cf. A158835, A158836, A158837, A158836, A158840.

Sequence in context: A197065 A141007 A207570 * A236964 A145349 A309170

Adjacent sequences: A158836 A158837 A158838 * A158840 A158841 A158842

Keyword

nonn

Author

Paul D. Hanna, Mar 28 2009

Status

approved