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Search: id:A099765
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| A099765 |
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a(n)=(1/Pi)*(2^n/n)*(n-1)!*integral((sin(t)/t)^n dt, t=0.....infty). |
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+0
1
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| 1, 1, 2, 8, 46, 352, 3364, 38656, 519446, 7996928, 138826588, 2683604992, 57176039628, 1331300646912, 33636118326984, 916559498182656, 26795449170328038, 836606220759859200, 27784046218331805100
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Eric Weisstein's World of Mathematics, Sinc Function
W. Trump, Magic series.
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FORMULA
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a(n)=(1/n)*sum(k=0, floor(n/2), (-1)^k*binomial(n, k)*(n-2*k)^(n-1))
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PROGRAM
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(PARI) a(n)=(1/n)*sum(k=0, floor(n/2), (-1)^k*binomial(n, k)*(n-2*k)^(n-1))
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CROSSREFS
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Cf. A049330.
Adjacent sequences: A099762 A099763 A099764 this_sequence A099766 A099767 A099768
Sequence in context: A052801 A074599 A007289 this_sequence A096656 A102009 A135904
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 11 2004, Dec 11 2007
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