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A032032 Number of ways to partition n labeled elements into sets of sizes of at least 2 and order the sets. +0
4
1, 0, 1, 1, 7, 21, 141, 743, 5699, 42241, 382153, 3586155, 38075247, 428102117, 5257446533, 68571316063, 959218642651, 14208251423433, 223310418094785, 3699854395380371, 64579372322979335 (list; graph; listen)
OFFSET

0,5

LINKS

C. G. Bower, Transforms (2)

Index entries for related partition-counting sequences

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009; see page 245

FORMULA

"AIJ" (ordered, indistinct, labeled) transform of 0, 1, 1, 1...

E.g.f.: 1/(2+x-e^x).

MAPLE

spec := [ B, {B=Sequence(Set(Z, card>1))}, labeled ]; [seq(combstruct[count](spec, size=n), n=1..30)];

CROSSREFS

Sequence in context: A001693 A061961 A028248 this_sequence A084711 A060146 A111878

Adjacent sequences: A032029 A032030 A032031 this_sequence A032033 A032034 A032035

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net)

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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