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 A364881 #50 Aug 24 2023 10:14:30 %S A364881 5,5,3,2,1,9,5,3,1,9,5,2,1,8,4,2,1,6,3,1,1,5,2,1,7,3,2,1,5,2,1,7,3,1, %T A364881 1,5,2,1,7,3,1,9,4,2,1,6,3,1,8,4,2,1,5,2,1,7,3,2,1,5,2,1,6,3,1,8,4,2, %U A364881 1,5,3,1,7,3,1,1,5,2,1,6,3,1,8,4,2,1,5 %N A364881 First significant digit of the decimal expansion of n/(2^n). %C A364881 a(n) is also the first digit of n*5^n = A036291(n). %F A364881 a(n) = floor(n/(2^n)/10^floor(log_10(n/(2^n)))), for n > 0. %F A364881 a(n) = floor(n/A000079(n)/10^floor(log_10(n/A000079(n)))). %F A364881 a(n) = floor(A036291(n)/10^floor(log_10(A036291(n)))). %F A364881 a(n) = A000030(A036291(n)). %e A364881 n n/(2^n) %e A364881 1 0.5 a(1) = 5 %e A364881 2 0.5 a(2) = 5 %e A364881 3 0.375 a(3) = 3 %e A364881 4 0.25 a(4) = 2 %e A364881 5 0.15625 a(5) = 1 %e A364881 6 0.9375 a(6) = 9 %e A364881 7 0.0546875 a(7) = 5 %e A364881 8 0.03125 a(8) = 3 %e A364881 9 0.017578125 a(9) = 1 %e A364881 10 0.009765625 a(10) = 9 %e A364881 ... %p A364881 a:= n-> parse((""||(n*5^n))[1]): %p A364881 seq(a(n), n=1..100); # _Alois P. Heinz_, Aug 18 2023 %t A364881 Table[Floor[n/(2^n)/10^Floor[Log10[n/(2^n)]]], {n, 100000}] %o A364881 (Python) %o A364881 def A364881(n): return (n*5**(m:=len(str((1<<n)//n)))>>n-m) % 10 # _Chai Wah Wu_, Aug 24 2023 %Y A364881 Cf. A000030, A000079, A000799, A036291, A111395. %K A364881 easy,nonn,base %O A364881 1,1 %A A364881 _Ejder Aysun_, Aug 10 2023