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A111923
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Denominator of x(n) = Sum((odd part of k)/(k^5): 1<=k<=n).
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5
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1, 32, 2592, 82944, 51840000, 17280000, 41489280000, 1327656960000, 322620641280000, 322620641280000, 4723488808980480000, 4723488808980480000, 134907563873291489280000, 134907563873291489280000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Numerator of x(n) = A111922(n);
x(n) = A111922(n)/a(n) -> (Pi^4)/93 = 30*zeta(4)/31.
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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, Riemann Zeta Function
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CROSSREFS
| Cf. A000265, A013662, A111930, A111919, A111921.
Sequence in context: A185968 A077143 A198284 * A136246 A113500 A064018
Adjacent sequences: A111920 A111921 A111922 * A111924 A111925 A111926
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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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