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 A382601 #8 Apr 01 2025 09:36:57
%S A382601 0,2,1,4,0,9,5,2,4,5,1,1,0,5,9,7,2,1,7,3,2,4,9,8,7,4,5,8,3,0,6,5,0,0,
%T A382601 2,1,9,7,6,8,0,9,2,8,6,2,9,0,5,0,3,5,7,7,4,3,2,3,5,5,5,2,9,7,6,7,8,9,
%U A382601 0,6,0,5,9,4,5,5,5,2,0,3,6,1,0,8,9,8,4,7,7,7,1,2,8,8,4,8,5
%N A382601 Decimal expansion of Sum_{p prime} 1/((p - 1)*p*(p + 1)^3).
%H A382601 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,1,3}.
%F A382601 Equals A136141/8 - 7*A179119/8 + 3*A382554/4 + A382555/2.
%F A382601 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 A382601 0.02140952451105972173249874583065002197680928629050357743...
%o A382601 (PARI) sumeulerrat(1/((p-1)*p*(p+1)^3)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382601 Cf. A136141, A179119, A382554, A382555.
%K A382601 nonn,cons
%O A382601 0,2
%A A382601 _Artur Jasinski_, Mar 31 2025