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A032310 Number of ways to partition n labeled elements into sets of odd sizes, with all sizes different. +0
2
1, 0, 1, 4, 1, 6, 1, 64, 505, 130, 1321, 1024, 13157, 2380, 395851, 5782144, 1639617, 24545706, 16100905, 306621184, 292018525, 6304002100, 1549052715, 507969498304, 11794047630801, 3164830777316 (list; graph; listen)
OFFSET

1,4

LINKS

C. G. Bower, Transforms (2)

FORMULA

"EGJ" (unordered, element, labeled) transform of 1, 0, 1, 0... (odds)

E.g.f.: Product_{k>0} (1+x^(2*k-1)/(2*k-1)!). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 16 2004

CROSSREFS

Cf. A003724.

Sequence in context: A113520 A087652 A072195 this_sequence A032220 A032145 A032050

Adjacent sequences: A032307 A032308 A032309 this_sequence A032311 A032312 A032313

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Description corrected by Vladeta Jovovic, Aug 18 2004.

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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