A145162 G.f. A(x) satisfies A(x/A(x)^4) = 1/(1-x).

1, 1, 5, 51, 757, 14058, 303443, 7313188, 192096189, 5413972155, 161972306602, 5104569475976, 168500227127871, 5800706769824992, 207552636468976072, 7697809237540240440, 295284422299359774761, 11693774821978063710405

Offset: 0

Author

Paul D. Hanna, Oct 03 2008

Keywords

• nonn

Crossrefs

Cf. A145163 (A^2), A145164 (A^4); A088713, A145158, A145160, A145165, A145167.

Programs

PARI

{a(n)=local(A=1+x+x*O(x^n),B);for(n=0,n,B=serreverse(x/A^4);A=1/(1-B));polcoeff(A,n)}

Formula

G.f. satisfies: 1 - 1/A(x) = x*A( 1 - 1/A(x) )^4.

Self-convolution square yields A145163.

Self-convolution 4th power yields A145164.