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A369841 n-th digit of the decimal expansion of 1/n, with the digit to the left of the decimal point counted as the first digit.

%I A369841 #36 Mar 02 2024 15:29:09
%S A369841 1,5,3,0,0,6,7,0,1,0,9,3,3,5,6,0,7,5,1,0,4,5,3,6,0,5,3,5,1,3,9,0,3,5,
%T A369841 5,7,7,5,2,0,9,0,3,2,2,5,7,3,8,0,1,9,3,1,1,1,1,5,1,6,9,5,1,0,3,5,7,4,
%U A369841 1,4,9,8,3,5,3,3,9,2,1,0,7,5,3,0,7,5,1,6,1,1,9,0,1,5,5,6,7,6,1,0
%N A369841 n-th digit of the decimal expansion of 1/n, with the digit to the left of the decimal point counted as the first digit.
%C A369841 The digits seem to occur with unequal frequency. In the limit as n increases, it seems that the digits, sorted in decreasing order of frequency of occurrence, are 0,5,1,3,7,9,2,6,8,4.
%H A369841 Michael S. Branicky, <a href="/A369841/b369841.txt">Table of n, a(n) for n = 1..10000</a>
%F A369841 a(n) = floor((10^(n-1))/n) mod 10.
%e A369841 a(2) = 5 since 1/2 = 0.5 and the 2nd digit of "0.5" (including the 0) is 5.
%e A369841 a(7) = 7 since 1/7 = 0.142857142857... and its 7th digit is 7.
%e A369841 From _Jon E. Schoenfield_, Feb 03 2024: (Start)
%e A369841 In each row of the following table, the n-th digit is surrounded by spaces:
%e A369841 .
%e A369841    n         1/n         a(n)
%e A369841   --  -----------------  ----
%e A369841    1   1 .0000000000...    1
%e A369841    2  0. 5 000000000...    5
%e A369841    3  0.3 3 33333333...    3
%e A369841    4  0.25 0 0000000...    0
%e A369841    5  0.200 0 000000...    0
%e A369841    6  0.1666 6 66666...    6
%e A369841    7  0.14284 7 1428...    7
%e A369841    8  0.125000 0 000...    0
%e A369841    9  0.1111111 1 11...    1
%e A369841   10  0.10000000 0 0...    0
%e A369841 (End)
%t A369841 Table[Mod[Floor[10^(n-1)/n],10],{n,100}] (* _James C. McMahon_, Feb 04 2024 *)
%o A369841 (Python)
%o A369841 def a(n): return (10**(n-1)//n)%10
%o A369841 print([a(n) for n in range(1, 101)]) # _Michael S. Branicky_, Feb 03 2024
%Y A369841 Cf. A061480.
%K A369841 nonn,base
%O A369841 1,2
%A A369841 _Itamar Zamir_, Feb 03 2024