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 A382594 #9 Apr 01 2025 09:03:30 %S A382594 0,6,1,1,8,3,5,5,1,2,5,5,2,1,4,5,5,1,8,1,6,6,8,9,7,5,3,9,0,9,1,7,3,3, %T A382594 6,5,3,9,8,3,1,5,6,1,8,6,9,4,5,8,1,1,1,8,8,5,8,4,8,4,5,6,3,0,5,4,7,1, %U A382594 0,9,6,1,1,7,1,1,6,2,5,2,5,5,2,0,0,5,8,8,8,1,1,3,3,1,3,0,2,8,4,9,1,7,2,1,5 %N A382594 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p*(p + 1)^2). %H A382594 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,2,2}. %F A382594 Equals -A136141/2 + A086242/4 + A179119/2 - A382554/4. %F A382594 Equals Sum_{k>=3} (k-2) * P(2*k-1), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025 %e A382594 0.06118355125521455181668975390917336539831561869458... %o A382594 (PARI) sumeulerrat(1/((p-1)^2*p*(p+1)^2)) \\ _Amiram Eldar_, Apr 01 2025 %Y A382594 Cf. A086242, A136141, A179119, A382554. %K A382594 nonn,cons %O A382594 0,2 %A A382594 _Artur Jasinski_, Mar 31 2025