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

Author

Paul D. Hanna, Oct 03 2008

Keywords

• nonn

Crossrefs

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

Programs

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)}

Formula

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

Self-convolution cube yields A145161.