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Search: id:A134980
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| 1, 2, 10, 77, 799, 10427, 163967, 3017562, 63625324, 1512354975, 40012800675, 1166271373797, 37134022033885, 1282405154139046, 47745103281852282, 1906411492286148245, 81267367663098939459
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OFFSET
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0,2
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FORMULA
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a(n) = exp(-1)*Sum_{k>=0} (n+k)^n/k!. E.g.f.: A(x) = exp(-1)*Sum_{k>=0} (1+k*x)^k/k!.
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MAPLE
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with(combinat): a:=proc(n) options operator, arrow: sum(binomial(n, k)*n^(n-k)*bell(k), k=0..n) end proc: 1, seq(a(n), n=1..16); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 02 2008
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CROSSREFS
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Adjacent sequences: A134977 A134978 A134979 this_sequence A134981 A134982 A134983
Sequence in context: A066223 A088500 A095789 this_sequence A098692 A138273 A052568
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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.yu), Feb 04 2008
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 02 2008
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