A153182 - OEIS

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A153182

Number of overpartitions of n with even M2-rank minus the number of overpartitions of n with odd M2-rank.

1, 2, 4, 0, -2, 8, 8, -8, -4, 10, 8, 0, -8, 8, 16, -16, -10, 16, 12, 0, -8, 16, 8, -24, -8, 10, 24, 0, -16, 24, 16, -24, -20, 16, 16, 0, -10, 8, 24, -32, -8, 32, 16, 0, -24, 24, 16, -40, -24, 18, 28 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`a(8n+3) = 0.`
	LINKS	`K. Bringmann and J. Lovejoy, Overpartitions and class numbers of binary quadratic forms`
	FORMULA	`G.f.: 1 + 2Sum_{n >= 1} q^n(1+q)(1+q^3)...(1+q^(2n-1))/((1+q^2)(1+q^4)...(1+q^(2n))^2).`
	CROSSREFS	`Sequence in context: A011165 A028963 A004516 * A111818 A007631 A155517` `Adjacent sequences: A153179 A153180 A153181 * A153183 A153184 A153185`
	KEYWORD	`sign`
	AUTHOR	`Jeremy Lovejoy (lovejoy(AT)liafa.jussieu.fr), Dec 20 2008`

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Last modified February 16 08:13 EST 2012. Contains 205893 sequences.