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 A382588 #8 Apr 01 2025 08:56:45
%S A382588 0,8,6,9,2,2,5,4,7,9,1,6,2,7,0,4,6,6,9,0,2,1,9,9,8,0,0,8,6,0,4,8,8,3,
%T A382588 2,8,4,4,5,0,0,8,8,4,0,9,1,4,5,4,6,0,4,2,1,9,4,6,7,2,9,2,9,9,8,8,3,6,
%U A382588 6,5,8,2,8,2,5,4,0,2,2,3,5,4,3,7,0,1,9,2,9,7,2,4,9,4,1,4,5,9,8,8,3,2,6,6
%N A382588 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^2*(p + 1)).
%H A382588 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {2,3,1}.
%F A382588 Equals -A085548 + 17*A136141/8 - 5*A086242/4 + A380840/2 + A179119/8.
%F A382588 Equals Sum_{k>=3} ((k-2)^2 * P(2*k) + (k-2)*(k-1) * P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382588 0.08692254791627046690219980086048832844500884091454...
%o A382588 (PARI) sumeulerrat(1/((p-1)^3*p^2*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382588 Cf. A085548, A086242, A136141, A179119, A380840.
%K A382588 nonn,cons
%O A382588 0,2
%A A382588 _Artur Jasinski_, Mar 31 2025