A146483 Decimal expansion of Product_{q in A014612} (1-1/(q*(q-1))).

9, 5, 8, 7, 5, 2, 1, 1, 6, 4, 3, 5, 7, 3, 0, 9, 2, 7, 7, 1, 4, 7, 4, 0, 2, 5, 6, 5, 7, 8, 9, 2, 8, 6, 1, 2, 6, 5, 9, 4, 9, 0, 4, 4, 8, 5, 0, 2, 3, 5, 9, 9, 0, 1, 5, 9, 2

Offset

0,1

Comments

3-almost prime analog of A005596.

Links

Table of n, a(n) for n=0..56.

R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, arXiv:0903.2514 [math.NT], table 3 fourth line. [From R. J. Mathar, 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=1, where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.

Example

0.9587521164357309277147402... = (1-1/56)*(1-1/132)*(1-1/306)*(1-1/380)*..

Crossrefs

Sequence in context: A309645 A377227 A351209 * A090463 A272795 A246765

Adjacent sequences: A146480 A146481 A146482 * A146484 A146485 A146486

Keyword

nonn,cons,less

Author

R. J. Mathar, Feb 13 2009

Status

approved