cp's OEIS Frontend

A355283 Decimal expansion of the constant B(3) = Sum_{n>=1} Sum_{m>=n+1} 1/(z(n)*z(m))^3 where z(n) is the imaginary part of the n-th nontrivial zero of the Riemann zeta function.

%I A355283 #69 Aug 23 2022 14:38:37
%S A355283 0,0,0,0,0,0,1,9,4,0,3,3,3,7,5,4,0,6,3,6,9,8,3,6,7,2,7,2,4,8,7,9,8,1,
%T A355283 5,4,7,5,0,6,6,4,5,0,0,6,4,5,6,7,0,1,0,0,0,0,1,0,8,9,6,8,8,8,7,7,9,5,
%U A355283 3,1,0,3,1,0,9,3,5,3,2,5,7,7,2,6,0,6,5,8,0,3,8,6,3,6,8,8,3,1,7,5,3,5,1,5,1,8,8,4,4,6,0,5,1,7,4
%N A355283 Decimal expansion of the constant B(3) = Sum_{n>=1} Sum_{m>=n+1} 1/(z(n)*z(m))^3 where z(n) is the imaginary part of the n-th nontrivial zero of the Riemann zeta function.
%H A355283 For links see A332645.
%F A355283 Equals (A333360^2 - A335826)/2.
%F A355283 No simpler formula is known.
%e A355283 0.0000001940333754063698367... = 1.940333754063698367*10^(-7).
%Y A355283 Cf. A013629, A074760, A104539, A104540, A104541, A104542, A245275, A245276, A306339, A306340, A306341, A332645, A333360, A335814, A335815.
%K A355283 nonn,cons
%O A355283 0,8
%A A355283 _Artur Jasinski_, Aug 20 2022