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 A382561 #7 Apr 01 2025 19:51:46 %S A382561 1,2,9,7,6,9,2,2,8,3,8,8,8,0,4,9,1,8,4,2,4,9,8,5,7,6,4,6,8,8,0,1,5,1, %T A382561 7,4,3,2,3,3,0,6,7,1,9,8,5,2,4,4,9,6,1,3,9,1,6,3,6,3,7,1,2,6,6,1,9,5, %U A382561 3,9,5,0,3,4,5,9,1,7,8,4,1,2,0,3,2,1,5,0,4,9,4,6,1,1,5,8,3,7,7,9,2,7 %N A382561 Decimal expansion of Sum_{p prime} 1/((p - 1)^3*p^3). %H A382561 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,3,0}. %F A382561 Equals -3*A085548 - A085541 + 6*A136141 - 3*A086242 + A380840. %F A382561 Equals Sum_{k>=6} ((k-5)*(k-4)/2) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025 %e A382561 0.12976922838880491842498576468801517432330671985244961... %o A382561 (PARI) sumeulerrat(1/((p-1)^3*p^3)) \\ _Amiram Eldar_, Apr 01 2025 %Y A382561 Cf. A085541, A085548, A086242, A136141, A380840. %K A382561 nonn,cons %O A382561 0,2 %A A382561 _Artur Jasinski_, Mar 31 2025