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Lexicographically least sequence of nonnegative integers that avoids 8/7-powers.
1

%I #12 Nov 08 2016 20:23:14

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

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

%U 1,0,0,0,1,1,0,0,1,1,1,0,0,1,1,2,0,2,1,2,0,2,0,1,0,0,3,1,0,1,0,1,1,0,0,1,0,2,0,2,1,1,2,1,1,1,0,2,0,0,0,0

%N Lexicographically least sequence of nonnegative integers that avoids 8/7-powers.

%C This sequence is conjecturally 340-regular.

%H Eric Rowland, <a href="/A277152/b277152.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="/A277152/a277152.txt">List of first 100000 terms</a>

%F Conjecture: a(340 n + 52670) = a(n) + 3.

%K nonn

%O 0,16

%A _Eric Rowland_, Oct 01 2016