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 A105115 #18 Mar 26 2021 08:39:25
%S A105115 6,12,14,15,18,22,24,26,28,30,34,35,36,38,42,44,45,46,48,52,54,55,56,
%T A105115 58,60,62,65,66,68,70,72,74,75,76,78,82,84,85,86,88,90,92,94,95,96,98,
%U A105115 102,104,105,106,108,110,112,114,115,116,118,120,122,124,126,130,132,134
%N A105115 Numbers k such that the decimal representation of 1/k is neither terminating nor purely repeating.
%C A105115 k is in this sequence iff 1) k is divisible by 2 or 5 and 2) k is also divisible by some prime other than 2 and 5. Contains the numbers that are in neither A003592 nor A045572.
%C A105115 The asymptotic density of this sequence is 3/5. - _Amiram Eldar_, Mar 26 2021
%H A105115 Michael De Vlieger, <a href="/A105115/b105115.txt">Table of n, a(n) for n = 1..10000</a>
%e A105115 22 is a member because 1/22 = .045454545..., which has a 0 before the repeating 45.
%t A105115 f[n_, lim_] := Block[{g, a}, g[x_] := First /@ FactorInteger@ x; a = g@ n; Select[Range@ lim, And[1 < GCD[#, n] < #, Length@ Complement[g@ #, a] >= 1] &]]; f[10, 134] (* _Michael De Vlieger_, Jun 20 2015 *)
%Y A105115 Cf. A003592, A045572.
%K A105115 base,easy,nonn
%O A105115 1,1
%A A105115 _David Wasserman_, Apr 07 2005