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 A132799 #12 Aug 11 2020 09:59:06 %S A132799 0,1,7,6,0,9,1,1,9,5,3,3,5,1,7,9,6,5,3,8,5,2,7,8,4,9,7,3,5,6,6,3,1,3, %T A132799 4,2,6,2,3,8,1,8,1,8,0,1,0,7,9,4,9,6,9,9,4,0,6,4,8,0,1,2,6,8,4,1,2,8, %U A132799 7,5,4,9,4,1,2,3,2,1,4,4,4,7,2,5,7,5,7,7,3,6,2,4,6,3,2,1,9,6 %N A132799 Decimal expansion of the convergent to the sum of (1/8)^p where p ranges over the set of prime numbers. %F A132799 Equals 7 * Sum_{k>=1} pi(k)/8^(k+1), where pi(k) = A000720(k). - _Amiram Eldar_, Aug 11 2020 %e A132799 0.01760911... %o A132799 (PARI) /* Sum of 1/m^p for primes p */ sumnp(n,m) = { local(s=0,a,j); for(x=1,n, s+=1./m^prime(x); ); a=Vec(Str(s)); for(j=3,n, print1(eval(a[j])",") ) } %Y A132799 Cf. A000720, A132822 (base 7), A132821 (base 9). %K A132799 cons,nonn %O A132799 0,3 %A A132799 _Cino Hilliard_, Nov 17 2007 %E A132799 Offset corrected _R. J. Mathar_, Jan 26 2009