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A082380
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Number of 7/3+-power-free words over the alphabet {0,1}.
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3
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1, 2, 4, 6, 10, 14, 20, 30, 38, 50, 64, 86, 108, 136, 178, 222, 276, 330, 408, 500, 618, 774, 962, 1178, 1432, 1754, 2160, 2660, 3292
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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Let L = lim a(n)^(1/n); then L exists since a(n) is submultiplicative. 1.2206318 < L < 1.22064482 (Shur 2012); the gap between the bounds can be made less than any given constant. Empirically, the upper bound is precise: L=1.2206448... . - Arseny Shur, Apr 26 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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