id:A153181 - OEIS Search Results

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Number of overpartitions of n with even rank minus the number of overpartitions of n with odd rank.

+0
1

1, 2, -4, 8, -10, 8, -8, 16, -20, 10, -8, 24, -24, 8, -16, 32, -26, 16, -12, 24, -40, 16, -8, 48, -40, 10, -24, 32, -32, 24, -16, 48, -52, 16, -16, 48, -50, 8, -24, 64, -40, 32, -16, 24, -72, 24, -16, 80, -56, 18, -28 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`K. Bringmann and J. Lovejoy, Overpartitions and class numbers of binary quadratic forms`
	FORMULA	`G.f: 1 + 2Sum_{n >= 1} q^(n(n+1)/2)/((1+q)(1+q^2)...(1+q^n)^2).`
	CROSSREFS	`Sequence in context: A118418 A074810 A028984 this_sequence A043706 A028836 A028838` `Adjacent sequences: A153178 A153179 A153180 this_sequence A153182 A153183 A153184`
	KEYWORD	`sign`
	AUTHOR	`Jeremy Lovejoy (lovejoy(AT)liafa.jussieu.fr), Dec 20 2008`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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