A146491 Decimal expansion of Product_{q in A014612} (1-1/(q^3*(q-1))).

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

Offset

0,1

Comments

3-almost prime analog of A065415.

Links

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

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=3, where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.

Example

0.999645238332613367730... = (1-1/3584)*(1-1/19008)*(1-1/99144)*..

Crossrefs

Sequence in context: A346849 A146488 A051557 * A112118 A334450 A111590

Adjacent sequences: A146488 A146489 A146490 * A146492 A146493 A146494

Keyword

nonn,cons,less

Author

R. J. Mathar, Feb 13 2009

Status

approved