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 A382587 #9 Apr 01 2025 08:56:50
%S A382587 1,7,7,6,9,9,1,4,7,4,5,3,3,5,8,8,8,9,2,8,3,1,3,6,7,5,9,1,1,2,3,4,1,9,
%T A382587 2,7,5,2,3,5,4,8,6,3,9,2,6,9,5,9,7,0,1,8,8,5,9,3,7,1,7,9,3,8,9,8,6,5,
%U A382587 7,6,3,9,4,5,0,3,2,2,0,0,4,2,2,8,2,5,6,4,1,7,4,0,5,1,5,5,7,1,5,6,2,7,8,0,8
%N A382587 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p*(p + 1)) .
%H A382587 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,3,1}.
%F A382587 Equals 7*A136141/8 - 3*A086242/4 + A380840/2 - A179119/8.
%F A382587 Equals Sum_{k>=3} ((k-2)^2 * P(2*k-1) + (k-2)*(k-1) * P(2*k)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382587 0.17769914745335888928313675911234192752354863926959...
%o A382587 (PARI) sumeulerrat(1/((p-1)^3*p*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382587 Cf. A086242, A136141, A179119, A380840.
%K A382587 nonn,cons
%O A382587 0,2
%A A382587 _Artur Jasinski_, Mar 31 2025