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 A070773 #5 Oct 15 2013 22:31:19 %S A070773 1,1,1,1,1,1,1,3,1,2,2,0,1,0,2,1,1,3,1,1,0,1,2,0,2,1,1,1,3,2,1,3,0,1, %T A070773 2,2,0,0,0,0,2,1,0,3,0,3,2,3,3,1,0,0,2,2,3,2,0,3,1,0,1,1,0,1,1,1,1,7, %U A070773 1,2,2,1,1,1,1,2,1,0,2,0,0,2,0,1,0,1,1,0,1,0,1,0,1,1,2,2,3,3,2,1,2,1,2,2,4 %N A070773 Number of solutions to p(2m)-2p(m)=2n-1, where p(m) = m-th prime. %C A070773 p(2m)-2p(m) is approximately 2m Log[2]. %e A070773 n=12: 2n-1=23, no solution, so a(12)=0; n=8: 2n-1=15, p[2x]={53,61,89},2*p(x)=2*{19,23,37}={38,46,74}, p[2x]-2p[x]={15,15,15}, three solutions, so a(8)=3. %t A070773 j=0; Table[Print[j]; j=0; Do[s=Prime[2*n]-2*Prime[n]; If[Equal[s, 2*k-1], j=j+1], {n, 1, 2*k}], {k, 1, 11000}] (*number of solution=j*) %Y A070773 Cf. A066066, A022457, A070774, A069890. %K A070773 nonn %O A070773 1,8 %A A070773 _Labos Elemer_, May 06 2002