%I #8 Oct 29 2019 06:36:42
%S 1,6,4,24,15,9,54,33,2,12,8,5,3,18,11,7,42,26,16,10,60,36,22,14,84,51,
%T 31,19,13,78,47,29,20,120,72,44,27,17,102,62,38,23,138,83,50,30,180,
%U 108,65,39,25,150,90,55,34,21,126,76,46,28,168,101,61,37,222
%N Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "6".
%C In other words, for any n > 0, we have an integer k such that floor(10^k * a(n+1)/a(n)) = 6.
%H Rémy Sigrist, <a href="/A328757/b328757.txt">Table of n, a(n) for n = 1..10000</a>
%e The first terms, alongside a(n+1)/a(n), are:
%e n a(n) a(n+1)/a(n)
%e -- ---- -----------
%e 1 1 6
%e 2 6 0.666666...
%e 3 4 6
%e 4 24 0.625
%e 5 15 0.6
%e 6 9 6
%e 7 54 0.611111...
%e 8 33 0.060606...
%e 9 2 6
%e 10 12 0.666666...
%e 11 8 0.625
%e 12 5 0.6
%Y See A328752 for similar sequences.
%K nonn,base
%O 1,2
%A _Rémy Sigrist_, Oct 27 2019