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Search: id:A089259
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A089259 G.f.: Product_{m>=1} 1/(1-x^m)^A000009(m). +0
2
1, 1, 2, 4, 7, 12, 22, 36, 61, 101, 166, 267, 433, 686, 1088, 1709, 2671, 4140, 6403, 9824, 15028, 22864, 34657, 52288, 78646, 117784, 175865, 261657, 388145, 573936, 846377, 1244475, 1825170, 2669776, 3895833, 5671127, 8236945, 11936594, 17261557, 24909756 (list; graph; listen)
OFFSET

0,3

COMMENT

Number of complete set partitions of the integer partitions of n. This is the Euler transform of A000009. If we change the combstruct command from unlabeled to labeled, then we get A000258. - Thomas Wieder (thomas.wieder(AT)t-online.de), Aug 01 2008

MAPLE

A089259:=[H, {H=Set(T, card>=1), T=PowerSet(Sequence(Z, card>=1), card>=1)}, unlabeled]; seq(count(A089259, size=j), j=1..16); - Thomas Wieder (thomas.wieder(AT)t-online.de), Aug 01 2008

CROSSREFS

Cf. A001970, A050342, A089254, A000009, A068006.

Sequence in context: A054151 A018176 A135460 this_sequence A026713 A002573 A064492

Adjacent sequences: A089256 A089257 A089258 this_sequence A089260 A089261 A089262

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 23 2003

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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