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Search: id:A055882
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| A055882 |
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a(n)=2^n*Bell(n). E.g.f.: exp(exp(2x)-1). |
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+0 2
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| 1, 2, 8, 40, 240, 1664, 12992, 112256, 1059840, 10827264, 118758400, 1389711360, 17258893312, 226463227904, 3127694491648, 45316785602560, 686826595745792, 10861264214949888, 178802342273744896
(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)=EXP(-1)*2^n*sum(k=>0, k^n/k!). - Benoit Cloitre (benoit7848c(AT)orange.fr), May 20 2002
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MAPLE
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seq(add(binomial(n, k)*(bell(n)), k=0..n), n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 01 2006
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CROSSREFS
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Cf. A000079, A000110, A055883.
Adjacent sequences: A055879 A055880 A055881 this_sequence A055883 A055884 A055885
Sequence in context: A085485 A089603 A116456 this_sequence A002301 A000828 A111394
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KEYWORD
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nonn
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Jun 09 2000
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