A111921 Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^4)).

1, 16, 432, 6912, 864000, 864000, 296352000, 4741632000, 128024064000, 128024064000, 170400029184000, 170400029184000, 374368864117248000, 374368864117248000, 14974754564689920, 239596073035038720

Offset: 1

Author

Reinhard Zumkeller, Aug 21 2005

Keywords

• nonn
• frac

Comments

Numerator of x(n) = A111920(n);

x(n) = A111920(n)/a(n) -> 14*zeta(3)/15.

References

• G. Pólya and G. Szegő, Problems and Theorems in Analysis II (Springer 1924, reprinted 1972), Part Eight, Chap. 1, Sect. 6, Problem 50.

Links

• 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

Crossrefs

Cf. A000265, A002117, A111930, A111919, A111920, A111923.