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 A382566 #8 Apr 02 2025 06:36:04
%S A382566 3,6,7,9,2,1,6,2,4,6,0,6,3,8,0,9,9,7,5,9,7,2,6,1,3,7,6,5,0,3,2,9,1,1,
%T A382566 7,0,5,6,0,3,5,7,4,7,2,1,6,3,3,8,3,8,2,6,0,1,8,2,6,9,0,6,1,5,1,7,3,4,
%U A382566 9,2,6,6,3,5,2,4,0,1,5,6,9,6,4,8,2,8,6,9,7,6,3,7,4,2,6,7,9,3,4,9,2,5,2
%N A382566 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*(p + 1)).
%H A382566 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {0,3,1}.
%F A382566 Equals A136141/8 - A086242/4 + A380840/2 + A179119/8.
%F A382566 Equals Sum_{k>=2} (k-1)^2 * P(2*k) + (k-1)*k * P(2*k+1), where P is the prime zeta function. - _Amiram Eldar_, Apr 02 2025
%e A382566 0.36792162460638099759726137650329117056035747216338382601826906151734926635240156964828...
%o A382566 (PARI) sumeulerrat(1/((p-1)^3*(p+1))) \\ _Amiram Eldar_, Apr 02 2025
%Y A382566 Cf. A086242, A136141, A179119, A380840.
%K A382566 nonn,cons
%O A382566 0,1
%A A382566 _Artur Jasinski_, Mar 31 2025