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Search: id:A020543
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| A020543 |
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a(0) = 1, a(1) = 1, a(n+1) = (n+1)*a(n)+n. |
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2
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| 1, 1, 3, 11, 47, 239, 1439, 10079, 80639, 725759, 7257599, 79833599, 958003199, 12454041599, 174356582399, 2615348735999, 41845579775999, 711374856191999, 12804747411455999, 243290200817663999, 4865804016353279999
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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First Bernoulli polynomial evaluated at x=n! (multiplied by 2).
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LINKS
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Index entries for sequences related to Bernoulli numbers.
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FORMULA
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E.g.f.: (-2+exp(x)-x*exp(x))/(1-x). - Ralf Stephan, Feb 18 2004
a(n) = 2*n! - 1 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 07 2008
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MATHEMATICA
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lst={1}; s=1; Do[s+=(n+=s*n); AppendTo[lst, s], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 10 2008]
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CROSSREFS
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A052898(n) - 2.
Sequence in context: A030865 A030902 A030925 this_sequence A111139 A167564 A126180
Adjacent sequences: A020540 A020541 A020542 this_sequence A020544 A020545 A020546
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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Better description from Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 29 2001
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