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 A382585 #8 Apr 01 2025 08:52:01
%S A382585 0,9,0,7,7,6,5,9,9,5,3,7,0,8,8,4,2,2,3,8,0,9,3,6,9,5,8,2,5,1,8,5,3,5,
%T A382585 9,9,0,7,8,5,3,9,7,9,8,3,5,5,0,5,0,9,7,6,6,6,4,6,9,8,8,6,3,9,1,0,2,9,
%U A382585 1,0,5,6,6,2,4,9,1,9,7,6,8,7,9,1,2,3,7,1,2,0,1,5,5,7,4,1,1,1,6,7,9,5,1,4,2
%N A382585 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p^2*(p + 1)).
%H A382585 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {2,2,1}.
%F A382585 Equals A085548 - 5*A136141/4 + A086242/2 - A179119/4.
%F A382585 Equals Sum_{k>=3} (k-2) * (P(2*k-1) + P(2*k)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382585 0.09077659953708842238093695825185359907853979835505...
%o A382585 (PARI) sumeulerrat(1/((p-1)^2*p^2*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382585 Cf. A085548, A086242, A136141, A179119.
%K A382585 nonn,cons
%O A382585 0,2
%A A382585 _Artur Jasinski_, Mar 31 2025