%I #6 Mar 29 2020 17:15:32
%S 1,2,3,5,9,10,11,15,18,20,25,30,33,45,50,90,99,100,101,110,111,125,
%T 150,165,180,198,200,225,250,300,303,330,333,450,495,500,900,909,990,
%U 999,1000,1001,1010,1100,1110,1111,1125,1250,1287,1500,1515,1650,1665,1800
%N Numbers k with unique nonzero digit in decimal representation of 1/k.
%C This sequence has similarities with A125289; here we consider the decimal representation of 1/n, there that of n.
%C This sequence contains A333402.
%C If m belongs to the sequence, then 10*m also belongs to the sequence.
%H Rémy Sigrist, <a href="/A333607/a333607.gp.txt">PARI program for A333607</a>
%e The first terms, alongside their inverse, are:
%e n a(n) 1/a(n)
%e -- ---- -----------
%e 1 1 1
%e 2 2 0.5
%e 3 3 0.333333...
%e 4 5 0.2
%e 5 9 0.111111...
%e 6 10 0.1
%e 7 11 0.090909...
%e 8 15 0.066666...
%e 9 18 0.055555...
%e 10 20 0.05
%e 11 25 0.04
%e 12 30 0.033333...
%e 13 33 0.030303...
%o (PARI) See Links section.
%Y Cf. A125289, A333402.
%K nonn,base
%O 1,2
%A _Rémy Sigrist_, Mar 28 2020