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Search: id:A111921
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| A111921 |
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Denominator of x(n) = Sum((odd part of k)/(k^4): 1<=k<=n). |
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+0
6
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| 1, 16, 432, 6912, 864000, 864000, 296352000, 4741632000, 128024064000, 128024064000, 170400029184000, 170400029184000, 374368864117248000, 374368864117248000, 14974754564689920, 239596073035038720
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OFFSET
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1,2
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COMMENT
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Numerator of x(n) = A111920(n);
x(n) = A111920(n)/a(n) -> 14*zeta(3)/15.
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REFERENCES
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G. Polya and G. Szego, Problems and Theorems in Analysis II (Springer 1924, reprinted 1972), Part Eight, Chap. 1, Sect. 6, Problem 50.
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LINKS
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Eric Weisstein's World of Mathematics, Odd Part
Eric Weisstein's World of Mathematics, Apery's constant
Eric Weisstein's World of Mathematics, Riemann Zeta Function
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CROSSREFS
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Cf. A000265, A002117, A111930, A111919, A111923.
Sequence in context: A035021 A035275 A143039 this_sequence A118994 A000489 A075852
Adjacent sequences: A111918 A111919 A111920 this_sequence A111922 A111923 A111924
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KEYWORD
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nonn,frac
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 21 2005
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