|
Search: id:A111919
|
|
|
| A111919 |
|
Denominator of x(n) = Sum((odd part of k)/(k^3): 1<=k<=n). |
|
+0
6
|
|
| 1, 8, 72, 576, 14400, 1600, 78400, 627200, 50803200, 50803200, 6147187200, 6147187200, 1038874636800, 1038874636800, 1038874636800, 8310997094400, 2401878160281600, 266875351142400, 96342001762406400, 96342001762406400
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Numerator of x(n) = A111918(n);
x(n) = A111918(n)/a(n) ---> Pi*Pi/7 = 6*zeta(2)/7.
|
|
REFERENCES
|
G. Polya and G. Szego, 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, Rieman n Zeta Function zeta(2)
|
|
CROSSREFS
|
Cf. A000265, A013661, A111930, A111921, A111923.
Sequence in context: A104453 A082141 A054615 this_sequence A052379 A062541 A057091
Adjacent sequences: A111916 A111917 A111918 this_sequence A111920 A111921 A111922
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Aug 21 2005
|
|
|
Search completed in 0.002 seconds
|
