login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A111923 Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^5)). 5
1, 32, 2592, 82944, 51840000, 17280000, 41489280000, 1327656960000, 322620641280000, 322620641280000, 4723488808980480000, 4723488808980480000, 134907563873291489280000, 134907563873291489280000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numerator of x(n) = A111922(n);

lim_{n->infinity} x(n) = lim_{n->infinity} A111922(n)/a(n) = (Pi^4)/93 = 30*zeta(4)/31.

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

Table of n, a(n) for n=1..14.

Eric Weisstein's World of Mathematics, Odd Part

Eric Weisstein's World of Mathematics, Riemann Zeta Function

CROSSREFS

Cf. A000265, A013662, A111930, A111919, A111921, A111922.

Sequence in context: A077143 A198284 A230573 * A136246 A248074 A220299

Adjacent sequences:  A111920 A111921 A111922 * A111924 A111925 A111926

KEYWORD

nonn,frac

AUTHOR

Reinhard Zumkeller, Aug 21 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 29 10:34 EST 2020. Contains 331337 sequences. (Running on oeis4.)