A146494 Decimal expansion of Product_{q in A014612} (1-1/(q^4*(q-1))).

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

Offset

0,1

Comments

3-almost prime analog of A065416.

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 at r=4, k=3.

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=4, where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.

Example

0.99995964347639250716750... = (1-1/28672)*(1-1/228096)*(1-1/1784592)*...

Crossrefs

Sequence in context: A111664 A258816 A291430 * A111691 A093409 A111692

Adjacent sequences: A146491 A146492 A146493 * A146495 A146496 A146497

Keyword

nonn,cons,less

Author

R. J. Mathar, Feb 13 2009

Status

approved