login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Lexicographically least sequence of nonnegative integers that avoids 10/7-powers.
1

%I #9 Nov 08 2016 20:22:57

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

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

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

%N Lexicographically least sequence of nonnegative integers that avoids 10/7-powers.

%C This sequence is conjecturally 26-regular.

%H Eric Rowland, <a href="/A277154/b277154.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).

%F Conjecture: a(26 n + 428) = a(n) + 1 for all n >= 1 (but not for n = 0).

%K nonn

%O 0

%A _Eric Rowland_, Oct 01 2016