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Search: id:A162314
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| 1, 4, 24, 208, 2400, 34624, 599424, 12107008, 279467520, 7257355264, 209403009024, 6646303019008, 230126121738240, 8632047179874304, 348695526455476224, 15091839203924574208, 696733490476660162560
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = 2^n*A000629(n) = 2^n*sum{k = 0..n} k!*Stirling2(n+1,k+1).
E.g.f.: exp(2*x)/(2-exp(2*x)) = 1 + 4*x + 24*x^2/2! + 208*x^3/3! + ....
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MAPLE
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#A162314
with(combinat):
a:= n -> 2^n*add(k!*Stirling2(n+1, k+1), k = 0..n):
seq(a(n), n = 0..16);
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CROSSREFS
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A000629, A162313.
Sequence in context: A012244 A050388 A010039 this_sequence A112141 A077555 A166881
Adjacent sequences: A162311 A162312 A162313 this_sequence A162315 A162316 A162317
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KEYWORD
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easy,nonn
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AUTHOR
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Peter Bala (pbala(AT)talktalk.net), Jul 01 2009
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