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%I A308148 #9 May 14 2019 22:23:43
%S A308148 1,2,4,8,14,26,48,88,160,292,532,966,1756,3194,5810,10552,19182,34868,
%T A308148 63376,115172,209316,380422,691384,1256538,2283666,4150402,7542974,
%U A308148 13708740
%N A308148 Number of length-n binary words avoiding (5+sqrt(5))/2-powers.
%C A308148 An e-power, where e is a real number, is a word of length n and period p such that n/p >= e.  To avoid an e-power means that no subword (contiguous block) is an e-power.
%e A308148 For n = 4, all length-4 binary words avoid (5+sqrt(5))/2 = 3.618... powers except 0000 and 1111.
%Y A308148 Cf. A296184 (5+sqrt(5))/2).
%K A308148 nonn,more
%O A308148 0,2
%A A308148 _Jeffrey Shallit_, May 14 2019

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