A145160 G.f. A(x) satisfies A(x/A(x)^3) = 1/(1-x).

1, 1, 4, 31, 347, 4860, 79174, 1440837, 28584939, 608533714, 13751688892, 327333165775, 8160149459870, 212121519165566, 5730205766494409, 160425928432680795, 4644491031188023566, 138792548776938444503

Offset

0,3

Links

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

Formula

G.f. satisfies: 1 - 1/A(x) = x*A( 1 - 1/A(x) )^3.

Self-convolution cube yields A145161.

Prog

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(n=0, n, B=serreverse(x/A^3); A=1/(1-B)); polcoeff(A, n)}

Crossrefs

Cf. A145161 (A^3); A088713, A145158, A145162, A145165, A145167.

Sequence in context: A379191 A122400 A107725 * A129271 A136728 A321031

Adjacent sequences: A145157 A145158 A145159 * A145161 A145162 A145163

Keyword

nonn

Author

Paul D. Hanna, Oct 03 2008

Status

approved