A112531 - OEIS

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A112531

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

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; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`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 * A100002 A057041 A099567` `Adjacent sequences: A112528 A112529 A112530 * A112532 A112533 A112534`
	KEYWORD	`nonn`
	AUTHOR	`Alford Arnold (Alford1940(AT)aol.com), Sep 10 2005`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.