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A093595
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a(n) = numerator of Sum_{k in A030059} 1/k^(2n).
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1
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9, 15, 11340, 278775, 16247385, 37139825022300, 7581939039675, 76731473729479944375, 3915591422490399696806136375, 381397512477801513050979496875, 16227546388799797830522276658125
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OFFSET
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1,1
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COMMENTS
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See the Hardy reference, p. 65, fourth formula (with a misprint corrected), and the Weisstein link, eqs. (25)-(31). - Wolfdieter Lang, Oct 18 2016
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REFERENCES
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G. H. Hardy, Ramanujan, AMS Chelsea Publishing, 2002, pp. 64 - 65, (misprint on p.65, line starting with Hence: it should be ... -1/Zeta(s) not ... -Zeta(s)).
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LINKS
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FORMULA
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Numerator of (zeta(2n)^2-zeta(4n))/(2zeta(2n)zeta(4n)).
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EXAMPLE
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9/(2*Pi^2), 15/(2*Pi^4), 11340/(691*Pi^6), 278775/(7234*Pi^8), ...
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CROSSREFS
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KEYWORD
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nonn,easy,frac
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AUTHOR
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STATUS
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approved
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