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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, 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.