A147599 - OEIS

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A147599

Expansion of Prod((1+x^(4*i-1)),i=1..oo).

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 3, 1, 0, 2, 3, 1, 0, 3, 4, 1, 1, 4, 4, 1, 1, 5, 5, 1, 2, 7, 5, 1, 3, 8, 6, 1, 5, 10, 6, 2, 6, 12, 7, 2, 9, 14, 7, 3, 11, 16, 8, 4, 15, 19, 8, 6, 18, 21, 9, 8, 23, 24, 10, 11, 27, 27, 11, 14, 34, 30, 12, 19, 39, 33, 14, 24, 47 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,19`
	COMMENTS	`Number of partitions into distinct parts 4*k+3.`
	FORMULA	`G.f. sum(n>=0, x^(2n^2+n) / prod(k=1,n, 1-x^(4k))) - Joerg Arndt, Mar 10 2011.`
	CROSSREFS	`Cf. A000700, A169975, A170956-A170965.` `Sequence in context: A170963 A170964 A170965 * A170969 A170970 A170971` `Adjacent sequences: A147596 A147597 A147598 * A147600 A147601 A147602`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Aug 29 2010`

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Last modified February 17 22:48 EST 2012. Contains 206085 sequences.