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 A382600 #9 Apr 01 2025 09:36:32
%S A382600 0,1,4,1,8,1,9,3,0,6,5,5,3,3,6,1,5,3,3,5,3,8,0,9,6,6,5,5,6,8,6,2,2,7,
%T A382600 9,8,4,9,5,9,0,5,5,4,8,3,1,0,8,6,5,4,7,9,5,2,7,4,6,1,4,6,8,1,0,7,1,9,
%U A382600 4,1,2,3,8,3,4,6,9,3,1,0,9,6,8,3,2,7,5,2,2,3,0
%N A382600 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^3*(p + 1)^2).
%H A382600 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,3,2}.
%F A382600 Equals -A085548 - A085541 + 39*A136141/16 - A086242 + A380840/4 - 9*A179119/16 + A382554/8.
%F A382600 Equals Sum_{k>=4} ((k-3)*(k-2)/2)*(P(2*k) + P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382600 0.0141819306553361533538096655686...
%o A382600 (PARI) sumeulerrat(1/((p-1)^3*p^3*(p+1)^2)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382600 Cf. A085541, A085548, A086242, A136141, A179119, A380840, A382554.
%K A382600 nonn,cons
%O A382600 0,3
%A A382600 _Artur Jasinski_, Mar 31 2025