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 A382578 #7 Apr 02 2025 06:39:46
%S A382578 0,1,1,2,2,8,5,4,6,0,4,8,7,7,8,7,6,2,2,1,2,5,5,4,9,4,2,0,9,4,8,0,6,9,
%T A382578 1,2,2,3,5,5,2,7,1,3,3,5,4,6,8,9,5,8,9,3,8,1,2,4,4,0,7,9,7,3,3,6,6,5,
%U A382578 0,3,4,6,1,7,3,6,9,8,7,8,9,9
%N A382578 Decimal expansion of Sum_{p prime} 1/(p^2*(p + 1)^3).
%H A382578 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {2,0,3}.
%F A382578 Equals A085548 - 3*A179119 + 2*A382554 + A382555.
%F A382578 Equals Sum_{k>=5} (-1)^(k+1) * ((k-4)(k-3)/2) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 02 2025
%e A382578 0.01122854604877876221255494209480691223552713354689...
%o A382578 (PARI) sumeulerrat(1/(p^2*(p+1)^3)) \\ _Amiram Eldar_, Apr 02 2025
%Y A382578 Cf. A085548, A179119, A382554, A382555.
%K A382578 nonn,cons
%O A382578 0,4
%A A382578 _Artur Jasinski_, Mar 31 2025