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 A228114 #12 Feb 16 2025 08:33:20 %S A228114 -1,0,1,2,3,-34,-59,-9,176,1749,490,-842,4297,13427,-92418,-253834, %T A228114 925307,2903111,-27385699,28776158,81540379,40700461,-1160432518, %U A228114 2692289572,175794995 %N A228114 Difference between the number of primes with n digits (A006879) and the difference of consecutive integers nearest to Riemann(10^n) (see A228113). %C A228114 The sequence (A228113) yields an average relative difference in absolute value, i.e. Average(Abs(A228114(n))/ (A006879(n)) = 1.03936…x10^-2 for 1<=n<=25. %C A228114 Note that A057793(n) = Riemann(10^n) is not defined for n=0. Its value is set to 0. %H A228114 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeCountingFunction.html">Prime Counting Function</a>. %H A228114 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/RiemannPrimeCountingFunction.html">Riemann Prime Counting Function</a>. %F A228114 a(n) = A006879(n) - A228113(n). %Y A228114 Cf. A006880, A006879, A057793, A228111, A228112, A228113, A228115, A228116. %K A228114 sign,base,less %O A228114 1,4 %A A228114 _Vladimir Pletser_, Aug 10 2013