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 A107092 G.f. A(x) satisfies: A(x)^3 = A(x^3) + 3*x. 4
 1, 1, -1, 2, -4, 9, -22, 55, -142, 376, -1011, 2758, -7614, 21220, -59630, 168759, -480533, 1375676, -3957075, 11430582, -33144264, 96434321, -281447954, 823734157, -2417092933, 7109265120, -20955593252, 61893804180, -183148075432, 542885589115, -1611809502764, 4792612539375 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Self-convolution cube is A107093. LINKS EXAMPLE A(x)^3 = 1 + 3*x + x^3 - x^6 + 2*x^9 - 4*x^12 + 9*x^15 - 22*x^18 +... A(x^3) = 1 + x^3 - x^6 + 2*x^9 - 4*x^12 + 9*x^15 - 22*x^18+... PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=(subst(A, x, x^3)+3*x+x*O(x^n))^(1/3)); polcoeff(A, n, x)} CROSSREFS Cf. A107093, A008544. Sequence in context: A198520 A115324 A196307 * A352702 A055588 A088456 Adjacent sequences:  A107089 A107090 A107091 * A107093 A107094 A107095 KEYWORD sign AUTHOR Paul D. Hanna, May 11 2005 STATUS approved

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Last modified July 1 02:58 EDT 2022. Contains 354947 sequences. (Running on oeis4.)