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 A380198 #39 Mar 31 2025 22:59:10 %S A380198 -2,-1,0,0,2,3,5,8,15,24,40,72,119,212,360,633,1128,1989,3580,6386, %T A380198 11537,20897,37980,69354,127336,234054,431877,799754,1484440,2763961, %U A380198 5156791,9644970,18080775,33959344,63902732,120474951,227515953,430345298,815241632 %N A380198 Difference between pi(2^n) and the integer nearest to 2^n / log(2^n). %H A380198 Michael De Vlieger, <a href="/A380198/b380198.txt">Table of n, a(n) for n = 1..92</a> %F A380198 a(n) = - A053622(2^n). %F A380198 a(n) = A007053(n) - A050499(2^n). %e A380198 n 2^n pi(2^n) round(2^n/log(2^n)) a(n) %e A380198 ------------------------------------------------ %e A380198 1 2 1 3 -2 %e A380198 2 4 2 3 -1 %e A380198 3 8 4 4 0 %e A380198 4 16 6 6 0 %t A380198 Table[PrimePi[2^n]-Round[2^n/Log[2^n]],{n,39}] %Y A380198 Cf. A000720, A007053, A050499, A053622, A057835. %K A380198 sign %O A380198 1,1 %A A380198 _James C. McMahon_, Jan 16 2025