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Lexicographically least sequence of nonnegative integers that avoids 6/5-powers.
1

%I #10 Nov 08 2016 20:24:13

%S 0,0,0,0,0,1,1,1,1,1,0,2,0,2,0,2,0,1,0,1,1,1,0,1,0,0,0,2,0,2,1,2,0,2,

%T 1,0,1,1,0,0,1,0,0,1,1,2,1,2,0,2,0,0,1,1,0,1,1,0,0,1,0,2,1,2,0,2,0,0,

%U 1,1,1,1,1,0,0,0,0,2,1,2,1,2,0,0,1,0,1,1,1,0,1,0,0,2,1,2,1,2,0,0,0,0,1,1,1,1,1,0,0,2,0,2,1,2,0,1,0,0,1,1

%N Lexicographically least sequence of nonnegative integers that avoids 6/5-powers.

%C This sequence is 1001-regular.

%H Eric Rowland, <a href="/A277146/b277146.txt">Table of n, a(n) for n = 0..20000</a>

%H Lara Pudwell and Eric Rowland, <a href="http://arxiv.org/abs/1510.02807">Avoiding fractional powers over the natural numbers</a>, arXiv:1510.02807 [math.CO] (2015).

%H Eric Rowland, <a href="/A277146/a277146.txt">List of first 150000 terms</a>

%F a(1001 n + 30949) = a(n) + 3.

%K nonn

%O 0,12

%A _Eric Rowland_, Oct 01 2016