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A164469
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Number of binary strings of length n with no substrings equal to 0001 0101 or 0110.
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1
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13, 20, 32, 51, 81, 128, 201, 316, 497, 781, 1227, 1927, 3026, 4752, 7462, 11717, 18398, 28888, 45359, 71221, 111828, 175587, 275698, 432887, 679697, 1067225, 1675701, 2631098, 4131212, 6486612, 10184937, 15991852, 25109564, 39425715, 61904181
(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+6*x-5*x^2+6*x^3-4*x^4+8*x^5) / ( (x-1)*(x^5+x^3+x-1) ). - R. J. Mathar, Jan 19 2011
a(n) = 2*a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6). - Wesley Ivan Hurt, Apr 25 2023
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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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