id:A112531 - OEIS Search Results

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Table with shape 1 1 2 4 8 ... which counts ordered partitions having at least one part equal to one.

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1, 1, 2, 1, 2, 3, 3, 1, 2, 3, 6, 4, 3, 6, 4, 1, 2, 3, 6, 4, 6, 12, 12, 5, 3, 6, 12, 10, 4, 10, 5, 1, 2, 3, 6, 4, 6, 12, 12, 5, 6, 12, 24, 20, 12, 30, 20, 6, 3, 6, 12, 10, 12, 30, 30, 15, 4, 10, 20, 20, 5, 15, 6, 1 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Sums are 1 1 3 9 29 101 379 ... A112532; which is the first difference of A047970.`
	EXAMPLE	`The partitions begin 1 2 11 3 22 21 111 4 33 32 222 31 221 211 1111 ... yielding` `1` `1` `2 1` `2 3 3 1` `...` `permutations since we have omitted those cases having no part equal to one.`
	CROSSREFS	`Cf. A000079, A047970, A089246, A112532.` `Sequence in context: A118977 A071766 A007305 this_sequence A100002 A057041 A099567` `Adjacent sequences: A112528 A112529 A112530 this_sequence A112532 A112533 A112534`
	KEYWORD	`nonn`
	AUTHOR	`Alford Arnold (Alford1940(AT)aol.com), Sep 10 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research