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 A382593 #9 Apr 01 2025 09:03:34
%S A382593 0,1,5,1,1,0,2,2,9,1,2,0,0,1,1,7,2,5,7,4,9,0,8,0,5,7,1,6,5,2,3,9,8,9,
%T A382593 8,4,7,9,3,7,3,7,3,9,7,3,4,4,2,9,7,2,4,5,1,3,9,4,4,6,4,5,4,3,9,6,3,8,
%U A382593 0,9,7,5,6,0,2,6,2,7,8,5,6,8,7,1,5,3,2,9,3,3,0,0,7,5,5,0,8,4,4,0,1,7,7,9,9
%N A382593 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^3*(p + 1)^2).
%H A382593 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,1,2}.
%F A382593 Equals A085548 - A085541 + A136141/4 - 7*A179119/4 + A382554/2.
%F A382593 Equals Sum_{k>=3} (k-2) * (P(2*k) - P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382593 0.01511022912001172574908057165239898479373739734429...
%o A382593 (PARI) sumeulerrat(1/((p-1)*p^3*(p+1)^2)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382593 Cf. A085541, A085548, A136141, A179119, A382554.
%K A382593 nonn,cons
%O A382593 0,3
%A A382593 _Artur Jasinski_, Mar 31 2025