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 A382603 #8 Apr 01 2025 09:40:38
%S A382603 0,0,4,9,2,9,2,5,0,6,5,7,7,3,0,7,6,6,2,2,9,1,3,6,7,6,7,9,1,6,5,5,5,8,
%T A382603 7,5,0,5,2,4,5,5,2,4,4,6,0,0,6,8,9,5,6,1,5,1,9,5,3,1,7,2,1,9,6,5,1,4,
%U A382603 0,7,1,5,8,3,0,7,7,4,6,1,0,7,3,1,6,3,7,0,6,8,0,2,5,8,7
%N A382603 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^3*(p + 1)^3).
%H A382603 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,1,3}.
%F A382603 Equals 2*A085548 - A085541 + A136141/8 - 31*A179119/8 + 7*A382554/4 + A382555/2.
%F A382603 Equals Sum_{k>=4} ((k-3)^2 * P(2*k-1) - (k-3)*(k-2) * P(2*k)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382603 0.0049292506577307662291367679165558750524552...
%o A382603 (PARI) sumeulerrat(1/((p-1)*p^3*(p+1)^3)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382603 Cf. A085541, A085548, A136141, A179119, A382554, A382555.
%K A382603 nonn,cons
%O A382603 0,3
%A A382603 _Artur Jasinski_, Mar 31 2025