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Search: id:A111923
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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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+0
6
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| 1, 32, 2592, 82944, 51840000, 17280000, 41489280000, 1327656960000, 322620641280000, 322620641280000, 4723488808980480000, 4723488808980480000, 134907563873291489280000, 134907563873291489280000
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OFFSET
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1,2
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COMMENT
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Numerator of x(n) = A111922(n);
x(n) = A111922(n)/a(n) -> (Pi^4)/93 = 30*zeta(4)/31.
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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, Riemann Zeta Function
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CROSSREFS
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Cf. A000265, A013662, A111930, A111919, A111921.
Sequence in context: A085526 A101441 A077143 this_sequence A136246 A113500 A064018
Adjacent sequences: A111920 A111921 A111922 this_sequence A111924 A111925 A111926
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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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