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Search: id:A111919
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| A111919 |
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Denominator of x(n) = Sum((odd part of k)/(k^3): 1<=k<=n). |
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+0
6
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| 1, 8, 72, 576, 14400, 1600, 78400, 627200, 50803200, 50803200, 6147187200, 6147187200, 1038874636800, 1038874636800, 1038874636800, 8310997094400, 2401878160281600, 266875351142400, 96342001762406400, 96342001762406400
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OFFSET
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1,2
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COMMENT
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Numerator of x(n) = A111918(n);
x(n) = A111918(n)/a(n) ---> Pi*Pi/7 = 6*zeta(2)/7.
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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, Rieman n Zeta Function zeta(2)
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CROSSREFS
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Cf. A000265, A013661, A111930, A111921, A111923.
Sequence in context: A143945 A082141 A054615 this_sequence A052379 A158798 A062541
Adjacent sequences: A111916 A111917 A111918 this_sequence A111920 A111921 A111922
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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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