This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A091589 #21 Feb 16 2025 08:32:52
%S A091589 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,
%T A091589 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,
%U A091589 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
%N 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.
%D A091589 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 95.
%H A091589 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeFactor.html">Prime Factor</a>.
%F A091589 Equals A083342 minus Pi^2/6 plus A086242. - _R. J. Mathar_, Oct 14 2010
%F A091589 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
%e A091589 0.76478480...
%Y A091589 Cf. A001222, A013661 (Pi^2/6), A086242, A083342.
%K A091589 nonn,cons
%O A091589 0,1
%A A091589 _Eric W. Weisstein_, Jan 22 2004
%E A091589 More digits from _R. J. Mathar_, Oct 14 2010
%E A091589 More digits (using terms in A083342 and A086242) from _Vaclav Kotesovec_, Aug 12 2019