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 A382598 #9 Apr 01 2025 09:36:03
%S A382598 0,5,8,2,5,7,7,9,8,0,9,9,0,7,2,1,6,8,7,3,3,2,2,3,5,0,2,6,0,1,5,8,4,2,
%T A382598 8,1,0,6,2,6,1,6,5,1,0,2,8,7,5,0,7,9,5,0,0,0,0,4,4,3,6,1,5,4,2,1,9,7,
%U A382598 3,3,3,9,1,3,9,5,7,9,7,3,9,3,5,4,0,9,8,7,6,8,1,3,6,0,1,2,7,1,5,3,5,5,2
%N A382598 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p*(p + 1)^2).
%H A382598 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,3,2}.
%F A382598 Equals 11*A136141/16 - A086242/2 + A380840/4 - 5*A179119/16 + A382554/8.
%F A382598 Equals Sum_{k>=3} ((k-2)*(k-1)/2)*(P(2*k) + P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382598 0.05825779809907216873322350260158428106261651028750...
%o A382598 (PARI) sumeulerrat(1/((p-1)^3*p*(p+1)^2)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382598 Cf. A086242, A136141, A179119, A380840, A382554.
%K A382598 nonn,cons
%O A382598 0,2
%A A382598 _Artur Jasinski_, Mar 31 2025