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 A179193 #13 Jun 28 2024 04:28:52
%S A179193 0,1,1,4,1,9,9,9,9,20,15,30,22,28,23,52,33,63,58,44,65,86,84,67,68,
%T A179193 102,135,140,74,142,171,159,142,124,88,220,204,205,238,258,209,244,
%U A179193 231,201,245,304,328,214,291,292,465,422,380,350,422,381,507,507,417,627
%N A179193 Sum of the number of repeating digits for each reciprocal of integer m, where 1 < m < n and n is the base.
%C A179193 No digits are counted as repeating for 1/m if 1/m terminates.
%C A179193 Equivalent to 1 <= m <= n, since 1/n and 1/1 do not have repeating digits in any integer base n.
%H A179193 Amiram Eldar, <a href="/A179193/b179193.txt">Table of n, a(n) for n = 2..10000</a>
%e A179193 7th term considers octal: the fractions 1/2, 1/3, 1/4, 1/5, 1/6 and 1/7 have 0, 2, 0, 4, 2 and 1 repeating (octal) digits respectively, for a total of 9.
%e A179193 9th term considers decimal: the fractions 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8 and 1/9 have 0, 1, 0, 0, 1, 6, 0 and 1 repeating (decimal) digits respectively, for a total of 9.
%t A179193 a[n_] := Sum[Length[RealDigits[1/k, n][[1, -1]]], {k, 2, n-1}]; Array[a, 100, 2] (* _Amiram Eldar_, Jun 28 2024 *)
%Y A179193 Cf. A051626.
%K A179193 nonn,base
%O A179193 2,4
%A A179193 _Will Nicholes_, Jul 01 2010
%E A179193 Data corrected and extended by _Amiram Eldar_, Jun 28 2024