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Lexicographically least sequence of nonnegative integers that avoids 7/5-powers.
1

%I #10 Nov 08 2016 20:24:01

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

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

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

%N Lexicographically least sequence of nonnegative integers that avoids 7/5-powers.

%C This sequence is conjecturally 80874-regular.

%H Eric Rowland, <a href="/A277147/b277147.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="/A277147/a277147.txt">List of first 750000 terms</a>

%F Conjecture: a(80874 n + 173978) = a(n) + 1.

%K nonn

%O 0

%A _Eric Rowland_, Oct 01 2016