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Search: id:A129716
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| A129716 |
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n! times partial sum of the sequence (1,Bernoulli numbers). |
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+0
1
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| 1, 2, 3, 10, 40, 196, 1176, 8352, 66816, 589248, 5892480, 67841280, 814095360, 9007096320, 126099348480, 3417110323200, 54673765171200, -1593137026252800, -28676466472550400, 6142121597716070400, 122842431954321408000, -24453765000305786880000
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2008, Table of n, a(n) for n = 0..25
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FORMULA
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a(n)=n![1+sum(i=0..n-1) Bernoulli(i)] . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2008
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EXAMPLE
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The sequence of 1 followed by Bernoulli numbers is 1, 1, -1/2, 1/6,0, -1/30, 0, 1/42.... (Cf. A027641, A027642). Its partial sums are 1, 2, 3/2, 5/3, 5/3, ... Multiplication by n! for n=0,1,2,3,.. yields a(n).
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MAPLE
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A129716 := proc(n) n!*(1+add(bernoulli(i), i=0..n-1)); end: seq(A129716(n), n=0..40) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2008
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CROSSREFS
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Sequence in context: A008980 A064183 A050381 this_sequence A032293 A059733 A037390
Adjacent sequences: A129713 A129714 A129715 this_sequence A129717 A129718 A129719
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KEYWORD
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sign
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jun 02 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 20 2008
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