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A164431
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Number of binary strings of length n with no substrings equal to 0000 0011 or 1101
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1
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13, 21, 34, 54, 86, 139, 225, 364, 590, 956, 1547, 2503, 4050, 6552, 10600, 17151, 27751, 44902, 72654, 117558, 190213, 307771, 497984, 805754, 1303736, 2109489, 3413225, 5522714, 8935940, 14458656, 23394597, 37853253, 61247850, 99101102
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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4,1
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LINKS
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FORMULA
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G.f. -x^4*(13-5*x+5*x^2-6*x^3+4*x^4+8*x^5) / ( (x^2+x-1)*(x^4-x^3+x^2-x+1) ). - R. J. Mathar, Jan 19 2011
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MATHEMATICA
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LinearRecurrence[{2, -1, 1, -1, 0, 1}, {13, 21, 34, 54, 86, 139}, 40] (* Harvey P. Dale, May 19 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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