A202145 - OEIS

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A202145

G.f.: 1 + Sum_{n>=1} x^n * Product_{k=1..n} (1 - x^k) / (1 - x^(2*k+1)).

1, 1, 0, 0, 0, 0, -1, 1, 0, -2, 2, 0, -2, 2, 0, -2, 2, 0, -1, 1, 0, -2, 2, 2, -4, 2, 0, -2, 4, -2, -2, 2, 0, 0, 0, 0, -3, 3, 2, -4, 2, 0, -2, 2, 0, -2, 2, 0, 0, 0, -2, 0, 2, 2, -4, 2, 0, -4, 6, -2, -1, 1, 0, 0, -2, 2, -2, 2, 2, -2, 0, -2, 0, 4, -2, -2, 2, 0 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,10`
	LINKS	`Paul D. Hanna, Table of n, a(n) for n = 0..500`
	EXAMPLE	`G.f.: A(x) = 1 + x - x^6 + x^7 - 2x^9 + 2x^10 - 2x^12 + 2x^13 - 2x^15 +... where A(x) = 1 + x(1-x)/(1-x^3) + x^2(1-x)(1-x^2)/((1-x^3)(1-x^5)) + x^3(1-x)(1-x^2)(1-x^3)/((1-x^3)(1-x^5)(1-x^7)) +...`
	PROG	`(PARI) {a(n)=polcoeff(1 + sum(m=1, n, x^mprod(k=1, m, (1-x^k)/(1-x^(2k+1) +x*O(x^n)))), n)}`
	CROSSREFS	`Cf. A202146 (partial sums).` `Sequence in context: A215879 A114700 A140666 * A130772 A109265 A184334` `Adjacent sequences: A202142 A202143 A202144 * A202146 A202147 A202148`
	KEYWORD	`sign`
	AUTHOR	`Paul D. Hanna, Dec 12 2011`
	STATUS	`approved`

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Last modified May 21 21:31 EDT 2013. Contains 225505 sequences.