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 A382563 #6 Apr 01 2025 20:23:29
%S A382563 0,5,2,7,4,5,1,4,5,5,2,2,5,8,1,2,7,8,9,3,1,6,6,4,5,3,7,9,2,0,2,0,3,5,
%T A382563 2,7,4,4,6,4,4,0,1,9,8,1,6,0,3,2,7,3,2,4,3,0,2,4,8,1,6,8,7,1,1,2,8,8,
%U A382563 8,7,2,8,9,5,7,1,2,6,6,5,7,5,0,8,3,7,9,8,6,3,6,9,5,3,0,0,8,0,5,4,4,5,1
%N A382563 Decimal expansion of Sum_{p prime} 1/(p^3*(p + 1)).
%H A382563 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,0,1}.
%F A382563 Equals -A085548 + A085541 + A179119.
%F A382563 Equals Sum_{k>=4} (-1)^k * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382563 0.0527451455225812789316645379202035274464401981603273243024816...
%o A382563 (PARI) sumeulerrat(1/(p^3*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382563 Cf. A085541, A085548, A179119.
%K A382563 nonn,cons
%O A382563 0,2
%A A382563 _Artur Jasinski_, Mar 31 2025