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A111923
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Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^5)).
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5
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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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COMMENTS
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lim_{n->infinity} x(n) = lim_{n->infinity} A111922(n)/a(n) = (Pi^4)/93 = 30*zeta(4)/31.
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REFERENCES
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G. Pólya and G. Szegő, 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
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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