|
| |
|
|
A127901
|
|
Denominators of convergents to 6/Pi^2 based on 1/Zeta(s) = Sum_(1,inf.):{mu(n)/n^s}.
|
|
1
| | |
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| Numerators of convergents = A127900. n*mu(n) = A055615
|
|
|
REFERENCES
| John Derbyshire, "Prime Obsession", Joseph Henry Press, 2003, p. 249.
|
|
|
FORMULA
| Partial sums of convergents to 6/Pi^2 = 1/Zeta(2) = Sum_(1,inf.):{mu(n)/n^2} = 1 - 1/2^2 - 1/3^2 - 1/5^2 + 1/6^2,...
|
|
|
EXAMPLE
| First few convergents to 6/Pi^2 are: 1/1, 3/4, 23/36, 539/900, 47/75, 2228/3675, 9059/14700,...
|
|
|
CROSSREFS
| Cf. A127900, A055615.
Sequence in context: A126152 A009446 A134052 * A061742 A136469 A120605
Adjacent sequences: A127898 A127899 A127900 * A127902 A127903 A127904
|
|
|
KEYWORD
| nonn,frac
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 04 2007
|
| |
|
|
