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 A382602 #8 Apr 01 2025 09:25:20
%S A382602 0,1,0,1,8,0,9,7,8,4,6,2,2,8,0,9,5,9,5,1,9,9,4,3,8,0,3,7,3,5,8,4,3,1,
%T A382602 0,9,7,4,1,2,8,2,1,5,2,7,4,3,6,0,7,6,8,3,6,1,9,9,1,4,7,3,2,4,3,1,2,4,
%U A382602 0,2,5,9,7,7,1,8,5,3,2,4,6,1,3,9,8,9,5,8,6,4,9,8,1,6
%N A382602 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^2*(p + 1)^3).
%H A382602 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {2,1,3}.
%F A382602 Equals -A085548 + A136141/8 + 17*A179119/8 - 5*A382554/4 - A382555/2.
%F A382602 Equals Sum_{k>=3} ((k-2)^2 * P(2*k) - (k-2)*(k-1)*P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382602 0.010180978462280959519943803735843109741282152...
%o A382602 (PARI) sumeulerrat(1/((p-1)*p^2*(p+1)^3)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382602 Cf. A085548, A136141, A179119, A382554, A382555.
%K A382602 nonn,cons
%O A382602 0,5
%A A382602 _Artur Jasinski_, Mar 31 2025