A091589 Decimal expansion of the analog of the Mertens constant B_2 in the asymptotic series for the variance of the number of prime factors Omega.

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

Offset: 0

Author

Eric W. Weisstein, Jan 22 2004

Keywords

• nonn
• cons

Examples

			0.76478480...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 95.

Links

• Eric Weisstein's World of Mathematics, Prime Factor.

Crossrefs

Cf. A001222, A013661 (Pi^2/6), A086242, A083342.

Formula

Equals A083342 minus Pi^2/6 plus A086242. - R. J. Mathar, Oct 14 2010

Equals lim_{m->oo} ((1/m) * Sum_{k=1..m} A001222(k)^2 - ((1/m) * Sum_{k=1..m} A001222(k))^2 - log(log(m))). - Amiram Eldar, Jan 09 2024

Extensions

More digits from R. J. Mathar, Oct 14 2010

More digits (using terms in A083342 and A086242) from Vaclav Kotesovec, Aug 12 2019