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Search: id:A094577
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| A094577 |
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Sum_{k=0..n} binomial(n,k)*Bell(2*n-k). |
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+0
4
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| 1, 3, 27, 409, 9089, 272947, 10515147, 501178937, 28773452321, 1949230218691, 153281759047387, 13806215066685433, 1408621900803060705, 161278353358629226675, 20555596673435403499083
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Or, Sum_{k=0..n} (-1)^k*binomial(n, k)*Bell(2*n-k+1).
a(n)=exp(-1)*sum_{k>=0}(k(k+1))^n/k! - Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 30 2005
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MAPLE
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seq(add(binomial(n, k)*(bell(n+k)), k=0..n), n=0..14); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 01 2006
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CROSSREFS
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Cf. A094574, A020556.
Main diagonal of array in A011971.
Sequence in context: A138436 A141057 A011781 this_sequence A108525 A136719 A159600
Adjacent sequences: A094574 A094575 A094576 this_sequence A094578 A094579 A094580
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), May 12 2004
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