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A107092 G.f. A(x) satisfies: A(x)^3 = A(x^3) + 3*x. 1
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

Table of n, a(n) for n=0..31.

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.

Sequence in context: A198520 A115324 A196307 * A055588 A088456 A091561

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 November 22 16:31 EST 2019. Contains 329396 sequences. (Running on oeis4.)