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 A382589 #8 Apr 01 2025 08:59:40
%S A382589 0,4,2,8,4,6,6,8,0,4,7,2,5,3,4,4,5,1,5,2,2,7,8,5,9,6,3,8,2,7,5,2,6,8,
%T A382589 4,5,8,7,8,2,9,7,8,7,8,9,3,7,9,0,3,5,7,1,7,2,1,6,9,0,7,8,2,6,7,3,5,8,
%U A382589 7,3,6,7,5,2,0,5,1,5,6,0,5,7,6,6,1,9,5,7,5,2,2,1,1,7,4,3,7,7,9,0,9,4,6,1
%N A382589 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^3*(p + 1)).
%H A382589 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,3,1}.
%F A382589 Equals -2*A085548 - A085541 + 31*A136141/8 - 7*A086242/4 + A380840/2 - A179119/8.
%F A382589 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 A382589 0.04284668047253445152278596382752684587829787893790...
%o A382589 (PARI) sumeulerrat(1/((p-1)^3*p^3*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382589 Cf. A085541, A085548, A086242, A136141, A179119, A380840.
%K A382589 nonn,cons
%O A382589 0,2
%A A382589 _Artur Jasinski_, Mar 31 2025