id:A107091 - OEIS Search Results

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G.f. A(x) satisfies: A(x) = A(x^3)^(1/3) + 9*x.

+0
3

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; listen)

	OFFSET	`0,2`
	COMMENT	`Self-convolution 9-th power of A107089. Self-convolution cube of A107090.`
	EXAMPLE	`A(x) = 1 + 9x + 3x^3 - 9x^6 + 46x^9 - 276x^12 + 1827x^15 -+...` `A(x^3)^(1/3) = 1 + 3x^3 - 9x^6 + 46x^9 - 276x^12 + 1827*x^15 -+...`
	PROGRAM	`(PARI) {a(n)=local(A=1+x); for(i=1, n, A=(subst(A^3, x, x^3)+9x+xO(x^n))^(1/9)); polcoeff(A^9, n, x)}`
	CROSSREFS	`Cf. A107089, A107090.` `Sequence in context: A089481 A065421 A093767 this_sequence A062523 A093961 A011110` `Adjacent sequences: A107088 A107089 A107090 this_sequence A107092 A107093 A107094`
	KEYWORD	`sign`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2005`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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