A194279 Self-convolution cube of A073711.

1, 3, 6, 13, 21, 36, 58, 93, 141, 203, 306, 420, 616, 828, 1188, 1569, 2181, 2877, 3878, 5085, 6651, 8844, 11148, 14928, 18196, 24864, 29118, 40540, 45858, 65280, 70884, 103425, 108357, 161853, 162852, 250395, 242963, 382644, 356970, 579637

Offset: 0

Author

Paul D. Hanna, Dec 21 2012

Keywords

• nonn

Comments

The g.f. G(x) of A073711 satisfies: G(x) = G(x^2) + x*G(x^2)^2.

Links

• Paul D. Hanna, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A073711, A073712.

Programs

PARI

{a(n)=local(A=1); for(i=0, #binary(n), A=subst(A, x, x^2+x*O(x^n))+x*subst(A, x, x^2+x*O(x^n))^2); polcoeff(A^3, n)}
for(n=0, 65, print1(a(n), ", "))

Formula

a(n) = A073711(4*n+3)/2.

a(n) = A073712(2*n+1)/2, where A073712 equals the self-convolution of A073711.