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A164417
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Number of binary strings of length n with no substrings equal to 0000, 0010, or 0100.
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2
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1, 2, 4, 8, 13, 22, 39, 70, 124, 217, 381, 672, 1186, 2090, 3680, 6482, 11422, 20127, 35461, 62474, 110069, 193930, 341683, 601999, 1060637, 1868700, 3292407, 5800790, 10220220, 18006665, 31725356, 55895881, 98481140, 173510709, 305702860, 538607921, 948955781
(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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G.f. -(x+1)*(x^5+x^4-x^3-x^2-1)/(x^7+x^6-x^5-x^4-x^2-x+1). - R. J. Mathar, Nov 30 2011
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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