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Search: id:A111920
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| A111920 |
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Numerator of x(n) = Sum((odd part of k)/(k^4): 1<=k<=n). |
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+0
6
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| 1, 17, 475, 7627, 960287, 962287, 330928441, 5296012681, 143167958387, 143231970419, 190769776691689, 190794429473689, 419345761582878733, 419413977483774733, 16780996063666453, 268499592964601893
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Denominator of x(n) = A111921(n);
x(n) = a(n)/A111921(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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EXAMPLE
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a(35) = 6357636538031086038114593391432155018318189,
A111921(35) = 5668063317569576031821812156438757376000000:
x(35)=a(35)/A111921(35)=1.12165..., x(35)*15/14=1.20177....
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CROSSREFS
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Cf. A000265, A002117, A111929, A111918, A111922.
Sequence in context: A122430 A009051 A035276 this_sequence A166116 A142368 A109305
Adjacent sequences: A111917 A111918 A111919 this_sequence A111921 A111922 A111923
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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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