id:A064986 - OEIS Search Results

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Number of partitions of n into factorial parts ( 0! not allowed ).

+0
4

1, 1, 2, 2, 3, 3, 5, 5, 7, 7, 9, 9, 12, 12, 15, 15, 18, 18, 22, 22, 26, 26, 30, 30, 36, 36, 42, 42, 48, 48, 56, 56, 64, 64, 72, 72, 82, 82, 92, 92, 102, 102, 114, 114, 126, 126, 138, 138, 153, 153, 168, 168, 183, 183, 201, 201, 219, 219, 237, 237, 258, 258, 279, 279 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: 1/Product_{i=1..infinity} (1-x^(i!)).`
	EXAMPLE	`a(3)=2 because we can write 3 = 2!+1! = 1!+1!+1!.` `a(3)=2 because we can write 3 = 2!+1! = 1!+1!+1!. And a(10) = 9 because 10 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 2 = 1 + 1 + 1 + 1 + 1 + 1 + 2 + 2 = 1 + 1 + 1 + 1 + 2 + 2 + 2 = 1 + 1 + 2 + 2 + 2 + 2 = 2 + 2 + 2 + 2 + 2 = 1 + 1 + 1 + 1 + 6 = 1 + 1 + 2 + 6 = 2 + 2 + 6.`
	CROSSREFS	`Cf. A000142, A064985.` `Cf. A115944.` `Adjacent sequences: A064983 A064984 A064985 this_sequence A064987 A064988 A064989` `Sequence in context: A121260 A121261 A085885 this_sequence A029019 A040039 A008667`
	KEYWORD	`easy,nonn`
	AUTHOR	`Naohiro Nomoto (n_nomoto(AT)yabumi.com), Oct 30 2001`
	EXTENSIONS	`More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu) and Don Reble (djr(AT)nk.ca), Nov 02 2001`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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