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A132331
G.f.: A(x) = (A_1)^3 where A_1 = 1 + x*(A_2)^3; A_2 = 1 + x^2*(A_3)^3; A_3 = 1 + x^3*(A_4)^3; ... A_n = 1 + x^n*(A_{n+1})^3 for n>=1.
3
1, 3, 3, 10, 18, 18, 72, 93, 141, 381, 423, 990, 1701, 2304, 4998, 7275, 12960, 21195, 34812, 58860, 90576, 163603, 239445, 413964, 669096, 1017918, 1768608, 2639988, 4383036, 6880680, 10911267, 17411292, 26930250, 43797420, 66324909, 107180772
OFFSET
0,2
FORMULA
Self-convolution cube of A132330.
PROG
(PARI) {a(n)=local(A=1+x*O(x^n)); for(j=0, n-1, A=1+x^(n-j)*A^3); polcoeff(A^3, n)}
CROSSREFS
Cf. A132330 (cube-root); A001764; A095830 (variant).
Sequence in context: A319882 A225860 A024313 * A077899 A049973 A025519
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Aug 20 2007
STATUS
approved