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 A382584 #7 Apr 02 2025 06:42:30 %S A382584 1,9,0,2,2,2,4,7,7,1,5,3,0,2,2,1,0,8,3,1,4,1,2,4,6,1,7,3,9,0,9,4,9,2, %T A382584 4,3,0,3,6,8,0,8,8,3,2,8,9,3,7,8,6,8,0,7,1,5,8,8,9,7,2,6,7,6,1,8,6,9, %U A382584 1,6,2,6,9,0,2,0,7,9,5,6,5,4,2,0,0,3,0,5,5,8,9,6,9,1,1,2,2,1,9,2,9,7,3 %N A382584 Decimal expansion of Sum_{p prime} 1/((p - 1)^2*p*(p + 1)). %H A382584 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,2,1}. %F A382584 Equals -3*A136141/4 + A086242/2 + A179119/4. %F A382584 Equals Sum_{k>=2} (k-1) * (P(2*k) + P(2*k+1)), where P is the prime zeta function. - _Amiram Eldar_, Apr 02 2025 %e A382584 0.1902224771530221083141246173909492430368088328937868071588972676186916269020795654200305... %o A382584 (PARI) sumeulerrat(1/((p-1)^2*p*(p+1))) \\ _Amiram Eldar_, Apr 02 2025 %Y A382584 Cf. A086242, A136141, A179119. %K A382584 nonn,cons %O A382584 0,2 %A A382584 _Artur Jasinski_, Mar 31 2025