id:A107093 - OEIS Search Results

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

+0
2

1, 3, 0, 1, 0, 0, -1, 0, 0, 2, 0, 0, -4, 0, 0, 9, 0, 0, -22, 0, 0, 55, 0, 0, -142, 0, 0, 376, 0, 0, -1011, 0, 0, 2758, 0, 0, -7614, 0, 0, 21220, 0, 0, -59630, 0, 0, 168759, 0, 0, -480533, 0, 0, 1375676, 0, 0, -3957075, 0, 0, 11430582, 0, 0, -33144264, 0, 0, 96434321, 0, 0, -281447954, 0, 0, 823734157, 0, 0, -2417092933, 0, 0 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Self-convolution cube of A107092.`
	EXAMPLE	`A(x) = 1 + 3x + x^3 - x^6 + 2x^9 - 4x^12 + 9x^15 - 22x^18 +...` `A(x^3)^(1/3) = 1 + x^3 - x^6 + 2x^9 - 4x^12 + 9x^15 - 22*x^18 +...`
	PROGRAM	`(PARI) {a(n)=local(A=1+x); for(i=1, n, A=(subst(A, x, x^3)+3x+xO(x^n))^(1/3)); polcoeff(A^3, n, x)}`
	CROSSREFS	`Cf. A107092.` `Sequence in context: A009138 A111025 A098018 this_sequence A051830 A106216 A035676` `Adjacent sequences: A107090 A107091 A107092 this_sequence A107094 A107095 A107096`
	KEYWORD	`sign`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2005`

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Last modified September 6 00:03 EDT 2008. Contains 143485 sequences.

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