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Search: id:A093596
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| A093596 |
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a(n) = Pi^(2n)*denominator of Sum_{{k in A030059} [1/k^(2n)]. |
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+0
2
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| 2, 2, 691, 7234, 174611, 163327586881, 13571120588, 55769228412163778, 1154372017217796891921391, 45587914559383477650447161, 786244320265033260236106076, 1325861528365506758393998232189714777
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Prime Sums
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FORMULA
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(Denominator of (Zeta[2n]^2-Zeta[4n])/(2Zeta[2n]Zeta[4n]))/Pi^(2n). See Eqns (28) to (31) of the link.
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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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Cf. A030059, A093595.
Sequence in context: A068103 A119512 A067091 this_sequence A111819 A079237 A013510
Adjacent sequences: A093593 A093594 A093595 this_sequence A093597 A093598 A093599
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KEYWORD
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nonn,frac
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Apr 03, 2004
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