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 A382581 #9 Apr 02 2025 06:41:26
%S A382581 0,4,1,2,9,6,5,3,7,8,8,3,1,3,7,1,3,6,7,7,4,5,9,4,2,4,9,8,6,9,9,1,1,6,
%T A382581 9,3,6,8,7,5,6,2,4,5,2,4,9,2,5,4,2,3,4,8,1,4,5,4,2,0,0,4,6,4,1,1,3,0,
%U A382581 0,7,8,3,5,5,8,3,5,7,2,8,0,8,1,4,5,2,1,8,2,9,1,3,0,9,8,9,3,9,9,1,4
%N A382581 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*(p + 1)^3).
%H A382581 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {0,2,3}.
%F A382581 Equals -3*A136141/16 + A086242/8 - 3*A179119/16 + A382554/4 + A382555/4.
%F A382581 Equals Sum_{k>=3} ((k-2)*(k-1)/2) * (P(2*k-1) - P(2*k)), where P is the prime zeta function. - _Amiram Eldar_, Apr 02 2025
%e A382581 0.0412965378831371367745942498699116936875624524925423481454200464113007835583572808145218...
%o A382581 (PARI) sumeulerrat(1/((p-1)^2*(p+1)^3)) \\ _Amiram Eldar_, Apr 02 2025
%Y A382581 Cf. A086242, A136141, A179119, A382554, A382555.
%K A382581 nonn,cons
%O A382581 0,2
%A A382581 _Artur Jasinski_, Mar 31 2025