id:A096258 - OEIS Search Results

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Number of partitions of n into distinct nonprime parts.

+0
1

1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 2, 2, 3, 4, 5, 5, 4, 6, 8, 8, 9, 11, 11, 13, 16, 17, 19, 22, 23, 27, 31, 32, 36, 43, 47, 52, 57, 61, 70, 80, 84, 93, 105, 114, 127, 141, 150, 167, 188, 202, 220, 244, 264, 291, 322, 346, 377, 416, 450, 493, 540, 580, 633, 696, 750, 814, 888 (list; graph; listen)

	OFFSET	`0,10`
	FORMULA	`G.f.: Product_{i>0} (1+x^i)/(1+x^prime(i)).`
	MATHEMATICA	`CoefficientList[ Series[ Product[(1 + x^n)/(1 + x^Prime[n]), {n, 70}], {x, 0, 67}], x] (from Robert G. Wilson v Aug 02 2004)`
	CROSSREFS	`Cf. A002095.` `Adjacent sequences: A096255 A096256 A096257 this_sequence A096259 A096260 A096261` `Sequence in context: A109337 A137266 A062948 this_sequence A049879 A053812 A017828`
	KEYWORD	`easy,nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 31 2004`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 02 2004`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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