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

0,2

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

Formula

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

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

Prog

(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), ", "))

Crossrefs

Cf. A073711, A073712.

Sequence in context: A064290 A064621 A330588 * A293822 A371917 A180750

Adjacent sequences: A194276 A194277 A194278 * A194280 A194281 A194282

Keyword

nonn

Author

Paul D. Hanna, Dec 21 2012

Status

approved