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 A373112 #16 May 31 2024 14:45:17 %S A373112 2,3,5,6,8,9,11,12,13,15,16,18,19,21,22,24,25,26,28,29,31,32,34,35,37, %T A373112 38,39,41,42,44,45,47,48,50,51,52,54,55,57,58,60,61,63,64,65,67,68,70, %U A373112 71,73,74,76,77,78,80,81,83,84,86,87,89,90,91,93,94,96,97,99,100,101,103,104 %N A373112 Number of binary digits in the integer part of e^n. %F A373112 a(n) = floor(log_2(floor(e^n))) + 1. %F A373112 a(n) = A070939(A000149(n)). - _Michel Marcus_, May 26 2024 %e A373112 e^10 = 22026.46579480671... 22026 in binary is 101011000001010 so a(10)=15. %Y A373112 Cf. A000149, A070939, A254528 (in decimal). %K A373112 nonn,base %O A373112 1,1 %A A373112 _Byron Avery_, May 25 2024