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A145160 G.f. A(x) satisfies A(x/A(x)^3) = 1/(1-x). 5

%I #2 Mar 30 2012 18:37:15

%S 1,1,4,31,347,4860,79174,1440837,28584939,608533714,13751688892,

%T 327333165775,8160149459870,212121519165566,5730205766494409,

%U 160425928432680795,4644491031188023566,138792548776938444503

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

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

%F Self-convolution cube yields A145161.

%o (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)}

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

%K nonn

%O 0,3

%A _Paul D. Hanna_, Oct 03 2008

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