|
Search: id:A146487
|
|
|
| A146487 |
|
Decimal expansion of Product_{q in A014612} (1-1/(q^2*(q-1))). |
|
+0
2
|
|
| 9, 9, 6, 5, 9, 8, 9, 2, 7, 4, 8, 0, 2, 4, 1, 2, 7, 3, 4, 1, 9, 1, 5, 9, 0, 4, 6, 3, 2, 9, 8, 9, 4, 6, 9, 2, 2, 9, 1, 0, 1, 0, 3, 9, 1, 0, 1, 1, 7, 8, 3, 8, 2, 0, 6, 5, 8
(list; cons; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
3-almost prime analog of A065414.
|
|
LINKS
|
R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, arXiv:0903.2514 [math.NT], table 3 at r=2, k=3. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 28 2009]
|
|
FORMULA
|
The logarithm is -sum_{s>=2} sum_{j=1..floor[s/(1+r)]} binomial(s-r*j-1,j-1)*P_3(s)/j at r=2, where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.
|
|
EXAMPLE
|
0.99659892748024127.. = (1-1/448)*(1-1/1584)*(1-1/5508)*(1-1/7600)*..
|
|
CROSSREFS
|
Sequence in context: A021505 A019894 A157293 this_sequence A085984 A157245 A072908
Adjacent sequences: A146484 A146485 A146486 this_sequence A146488 A146489 A146490
|
|
KEYWORD
|
nonn,cons,less
|
|
AUTHOR
|
R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2009
|
|
|
Search completed in 0.002 seconds
|
