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Search: id:A107089
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| A107089 |
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G.f. A(x) satisfies: A(x)^9 = A(x^3)^3 + 9*x. |
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3
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| 1, 1, -4, 23, -150, 1054, -7761, 58998, -459085, 3636389, -29209558, 237295537, -1945823646, 16081045446, -133787515943, 1119454523221, -9413778489629, 79510460561765, -674169212593940, 5736078315701995, -48956250060321142, 419002149097227663
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Self-convolution cube is A107090. Self-convolution 9-th power is A107091.
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EXAMPLE
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A(x)^9 = 1 + 9*x + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
A(x^3)^3 = 1 + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
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PROGRAM
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(PARI) {a(n)=local(A=1+x); for(i=1, n, A=(subst(A^3, x, x^3)+9*x+x*O(x^n))^(1/9)); polcoeff(A^1, n, x)}
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CROSSREFS
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Cf. A107090, A107091.
Sequence in context: A091642 A020079 A116881 this_sequence A055723 A007297 A111547
Adjacent sequences: A107086 A107087 A107088 this_sequence A107090 A107091 A107092
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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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