|
%I #9 Oct 29 2019 06:37:24
%S 1,3,9,27,10,30,11,4,12,36,13,5,15,45,14,42,16,6,2,7,21,8,24,72,22,66,
%T 20,60,18,54,17,51,19,57,171,52,156,47,141,43,129,39,117,37,111,34,
%U 102,31,93,28,84,26,78,25,75,23,69,207,63,189,58,174,53,159,48
%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 "3".
%C In other words, for any n > 0, we have an integer k such that floor(10^k * a(n+1)/a(n)) = 3.
%C Apparently, n -> a(n)/n has two accumulation points: 2 and 2/3.
%H Rémy Sigrist, <a href="/A328754/b328754.txt">Table of n, a(n) for n = 1..1000</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 3
%e 2 3 3
%e 3 9 3
%e 4 27 0.370370...
%e 5 10 3
%e 6 30 0.366666...
%e 7 11 0.363636...
%e 8 4 3
%e 9 12 3
%e 10 36 0.361111...
%e 11 13 0.384615...
%e 12 5 3
%Y See A328752 for similar sequences.
%K nonn,base
%O 1,2
%A _Rémy Sigrist_, Oct 27 2019
|
