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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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5
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1, 16, 432, 6912, 864000, 864000, 296352000, 4741632000, 128024064000, 128024064000, 170400029184000, 170400029184000, 374368864117248000, 374368864117248000, 14974754564689920, 239596073035038720
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Numerator of x(n) = A111920(n);
x(n) = A111920(n)/a(n) -> 14*zeta(3)/15.
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REFERENCES
| 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
| 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
| Cf. A000265, A002117, A111930, A111919, A111923.
Sequence in context: A173947 A143039 A202546 * A118994 A000489 A075852
Adjacent sequences: A111918 A111919 A111920 * A111922 A111923 A111924
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KEYWORD
| nonn,frac
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 21 2005
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