id:A113306 - OEIS Search Results

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Coefficients of solution to a functional equation.

+0
1

1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, -2, 2, -2, 2, 0, -2, 3, -4, 4, -2, 0, 2, -5, 7, -6, 3, 0, -4, 8, -10, 9, -6, 0, 8, -12, 14, -14, 9, 0, -10, 18, -22, 20, -12, 0, 13, -26, 33, -29, 17, 0, -20, 37, -45, 42, -26, 0, 29, -52, 62, -58, 37, 0, -40, 72, -88, 80, -48, 0, 53, -99, 122, -110, 65, 0, -72, 134, -163, 148, -91, 0 (list; graph; listen)

	OFFSET	`1,12`
	FORMULA	`G.f. A(x) satisfies 0=f(A(x), A(x^2)) where f(u, v)=(u+v)^2-v(1+u^2).` `G.f.: x (Product_{k>0} (1-x^(12k-1))(1-x^(12k-11))/((1-x^(12k-5))(1-x^(12k-7)))).` `a(6n+4)=0.`
	PROGRAM	`(PARI) {a(n)=if(n<1, 0, n--; polcoeff( prod(k=1, n, (1-x^k)^kronecker(12, k), 1+x*O(x^n)), n))}`
	CROSSREFS	`Adjacent sequences: A113303 A113304 A113305 this_sequence A113307 A113308 A113309` `Sequence in context: A053398 A065833 A097033 this_sequence A140885 A124752 A049241`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Oct 24 2005`

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.

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