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A158836 Column 0 of triangle A158835. 6
1, 1, 4, 27, 254, 3062, 45052, 783151, 15712342, 357459042, 9094926988, 255939571048, 7893741230500, 264806871279676, 9600056691219936, 374033821840909263, 15586672520501193866, 691789220336675178652 (list; graph; refs; listen; history; text; internal format)
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 * A239380 A239379 A239298

Adjacent sequences:  A158833 A158834 A158835 * A158837 A158838 A158839

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Mar 28 2009

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)