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A333607 Numbers k with unique nonzero digit in decimal representation of 1/k. 1

%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

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Last modified April 28 09:58 EDT 2024. Contains 372037 sequences. (Running on oeis4.)