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 A382586 #9 Apr 01 2025 08:51:57
%S A382586 0,4,4,0,7,5,8,6,7,4,4,3,7,3,6,0,1,5,3,7,9,4,1,3,8,3,7,0,3,2,9,6,1,4,
%T A382586 8,2,5,6,6,7,1,0,9,6,1,9,7,6,6,4,2,4,7,0,4,7,2,9,8,2,1,4,7,3,1,4,7,7,
%U A382586 9,2,1,5,3,0,4,8,8,6,6,2,9,6,7,0,8,2,3,5,4,5,0,3,7,6,7,0,8,1,9,7,3,8,0,5,4
%N A382586 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^3*(p + 1)).
%H A382586 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,2,1}.
%F A382586 Equals A085548 + A085541 - 7*A136141/4 + A086242/2 + A179119/4.
%F A382586 Equals Sum_{k>=3} (k-2) * (P(2*k) + P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382586 0.044075867443736015379413837032961482566710961976642...
%o A382586 (PARI) sumeulerrat(1/((p-1)^2*p^3*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382586 Cf. A085541, A085548, A086242, A136141, A179119.
%K A382586 nonn,cons
%O A382586 0,2
%A A382586 _Artur Jasinski_, Mar 31 2025