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Search: id:A107092
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| A107092 |
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G.f. A(x) satisfies: A(x)^3 = A(x^3) + 3*x. |
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+0
2
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| 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; listen)
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OFFSET
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0,4
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COMMENT
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Self-convolution cube is A107093.
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EXAMPLE
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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+...
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PROGRAM
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(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)}
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CROSSREFS
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Cf. A107093.
Adjacent sequences: A107089 A107090 A107091 this_sequence A107093 A107094 A107095
Sequence in context: A048211 A098719 A115324 this_sequence A055588 A088456 A091561
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2005
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