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Search: id:A096579
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| A096579 |
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Number of partitions of an n-set with exactly one even block. |
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+0
9
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| 0, 1, 3, 7, 25, 91, 329, 1415, 6297, 29431, 151085, 802099, 4506957, 26836083, 165586321, 1074740079, 7268876881, 50985776815, 372854157589, 2820244541675, 22087612114805, 179014336044171, 1495539626297689, 12894921568568999
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OFFSET
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1,3
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FORMULA
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E.g.f.: exp(sinh(x))*(cosh(x)-1). More generally, e.g.f. for the number of partitions of n-set with exactly k even blocks is 1/k!*exp(sinh(x))*(cosh(x)-1)^k.
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MATHEMATICA
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Drop[ Range[0, 24]! CoefficientList[ Series[ E^Sinh[x]*(Cosh[x] - 1), {x, 0, 24}], x], 1] (from Robert G. Wilson v Aug 17 2004)
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CROSSREFS
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Cf. A003724.
Sequence in context: A148739 A129084 A002870 this_sequence A120540 A133206 A054092
Adjacent sequences: A096576 A096577 A096578 this_sequence A096580 A096581 A096582
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 13 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 17 2004
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