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 A068398 #14 May 03 2024 22:58:57
%S A068398 1,1,1,2,3,4,5,6,8,9,10,11,13,14,16,17,19,20,22,23,25,27,28,30,32,33,
%T A068398 35,37,38,40,42,44,46,47,49,51,53,55,57,59,60,62,64,66,68,70,72,74,76,
%U A068398 78,80,82,84,86,88,90,92,94,96,98,100,103,105,107,109,111,113,115,117,120
%N A068398 Number of digits in (2^n)*(n!).
%F A068398 a(n) = floor(log(n!*2^n)/log(10)) + 1.
%F A068398 a(n) = A055642(A000165(n)). - _Michel Marcus_, Oct 23 2020
%t A068398 Table[IntegerLength[2^n n!],{n,0,70}] (* _Harvey P. Dale_, May 03 2024 *)
%o A068398 (PARI) a(n) = log(n!*2^n)\log(10) + 1; \\ _Michel Marcus_, Oct 23 2020
%Y A068398 Cf. A000165, A055642.
%K A068398 nonn,base
%O A068398 0,4
%A A068398 _Benoit Cloitre_, Mar 01 2002
%E A068398 a(0)=1 prepended by _Alois P. Heinz_, Oct 23 2020