id:A068980 - OEIS Search Results

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Number of partitions of n into nonzero tetrahedral numbers.

+0
1

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 11, 11, 12, 12, 15, 15, 16, 16, 19, 19, 22, 22, 25, 25, 28, 29, 32, 32, 35, 36, 42, 42, 45, 46, 52, 53, 56, 57, 63, 64, 70, 71, 77, 78, 84, 87, 94, 95, 101, 104, 115, 116, 122, 125, 136, 139, 146, 149, 160, 163, 175 (list; graph; listen)

	OFFSET	`0,5`
	FORMULA	`Generating function: product('(1-z^binomial(k, 3))^(-1)', 'k'=3..infinity);`
	EXAMPLE	`a(10)=4 because we can write 10 = 10 = 4 + 4 + 1 + 1 = 4 + 1 + 1 + 1 + 1 + 1 = 1 + ... + 1.`
	CROSSREFS	`See also A007294 (partitions into sum of triangular numbers), A000292 (tetrahedral numbers).` `Sequence in context: A076695 A071903 A091372 this_sequence A053266 A112217 A094994` `Adjacent sequences: A068977 A068978 A068979 this_sequence A068981 A068982 A068983`
	KEYWORD	`easy,nonn`
	AUTHOR	`Frank-Adams-Watters (FrankTAW(AT)Netscape.net), Apr 01 2002`

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.

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