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 A382579 #6 Apr 01 2025 20:21:50
%S A382579 0,0,5,2,5,1,7,2,7,8,0,4,5,5,0,1,9,3,2,9,0,8,0,7,0,3,5,8,1,9,2,8,7,2,
%T A382579 3,4,6,8,8,8,2,6,9,0,8,1,4,2,9,1,8,1,2,2,1,0,0,3,8,3,0,1,0,4,6,6,0,9,
%U A382579 9,5,4,3,9,4,1,0,7,8,6,3,5,4,0,8,2,5,8,7,9,6,9,5,5,7,9,1,0,3,5,3,0,3,5
%N A382579 Decimal expansion of Sum_{p prime} 1/(p^3*(p + 1)^3).
%H A382579 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,0,3}.
%F A382579 Equals -3*A085548 + A085541 + 6*A179119 - 3*A382554 - A382555.
%F A382579 Equals Sum_{k>=6} (-1)^k * ((k-5)(k-4)/2) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382579 0.00525172780455019329080703581928723468882690814291812210038301...
%o A382579 (PARI) sumeulerrat(1/(p^3*(p+1)^3)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382579 Cf. A085548, A085541, A179119, A382554, A382555.
%K A382579 nonn,cons
%O A382579 0,3
%A A382579 _Artur Jasinski_, Mar 31 2025