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Search: id:A163929
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| A163929 |
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Denominators of the higher order exponential integral constants alpha(2,n) |
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+0
3
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| 1, 1, 16, 1296, 20736, 12960000, 4320000, 10372320000, 165957120000, 40327580160000, 40327580160000, 590436101122560000, 590436101122560000, 16863445484161436160000, 2409063640594490880000, 2409063640594490880000
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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See A163927 for information about the alpha(k,n) constants.
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FORMULA
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alpha(k,n) = (1/k)*sum(sum(p^(-2*(k-i)),p = 0..n-1)*alpha(i, n), i = 0..k-1) with alpha(0,n) = 1, with k = 2 and n => 1.
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EXAMPLE
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alpha(k=2,n=1) = 0, alpha(k=2,2) = 1, alpha(k=2,3) = 21/16, alpha(k=2,4) = 1897/1296.
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CROSSREFS
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A163928 equals the numerators of the alpha(2,n).
Sequence in context: A027648 A016828 A072161 this_sequence A072914 A007480 A163395
Adjacent sequences: A163926 A163927 A163928 this_sequence A163930 A163931 A163932
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Johannes W. Meijer & Nico Baken (meijgia(AT)hotmail.com and n.h.g.baken(AT)tudelft.nl), Aug 13 2009, Aug 17 2009
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