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 A382580 #7 Apr 02 2025 06:40:40
%S A382580 0,4,6,4,4,5,8,5,0,1,3,1,5,3,3,2,8,2,9,4,8,2,4,6,3,6,3,7,4,1,9,5,2,4,
%T A382580 9,0,2,6,3,3,6,8,3,0,9,2,1,4,1,2,0,9,9,2,0,0,9,5,7,2,6,1,1,7,4,1,3,7,
%U A382580 9,0,9,8,6,1,4,2,0,2,4,7,8,2,7,0,9,2,8,0,1,9,5,7,4,0,0,3,1,3,6,0,8,4,3
%N A382580 Decimal expansion of Sum_{p prime} 1/((p - 1)*(p + 1)^3).
%H A382580 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {0,1,3}.
%F A382580 Equals A136141/8 + A179119/8 - A382554/4 - A382555/2.
%F A382580 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 A382580 0.046445850131533282948246363741952490263368309214120992009572611741379098614202478270928...
%o A382580 (PARI) sumeulerrat(1/((p-1)*(p+1)^3)) \\ _Amiram Eldar_, Apr 02 2025
%Y A382580 Cf. A136141, A179119, A382554, A382555.
%K A382580 nonn,cons
%O A382580 0,2
%A A382580 _Artur Jasinski_, Mar 31 2025