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A107091
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G.f. A(x) satisfies: A(x) = A(x^3)^(1/3) + 9*x.
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2
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1, 9, 0, 3, 0, 0, -9, 0, 0, 46, 0, 0, -276, 0, 0, 1827, 0, 0, -12838, 0, 0, 93885, 0, 0, -706878, 0, 0, 5440856, 0, 0, -42608139, 0, 0, 338345586, 0, 0, -2717685006, 0, 0, 22039352340, 0, 0, -180191062062, 0, 0, 1483568585389, 0, 0, -12289222187157, 0, 0, 102343255814052, 0, 0, -856335797389803, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Self-convolution 9-th power of A107089. Self-convolution cube of A107090.
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EXAMPLE
| A(x) = 1 + 9*x + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
A(x^3)^(1/3) = 1 + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
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PROG
| (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^9, n, x)}
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CROSSREFS
| Cf. A107089, A107090.
Sequence in context: A093767 A199175 A203129 * A200306 A153790 A062523
Adjacent sequences: A107088 A107089 A107090 * A107092 A107093 A107094
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KEYWORD
| sign
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2005
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