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A194279 Self-convolution cube of A073711. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A318228 A064290 A064621 * A293822 A180750 A047172

Adjacent sequences:  A194276 A194277 A194278 * A194280 A194281 A194282

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 21 2012

STATUS

approved

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Last modified November 17 08:17 EST 2018. Contains 317275 sequences. (Running on oeis4.)