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A164420
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Number of binary strings of length n with no substrings equal to 0000 0010 or 0111
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1
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13, 21, 33, 52, 81, 125, 193, 297, 457, 702, 1078, 1655, 2540, 3898, 5981, 9177, 14080, 21602, 33142, 50846, 78007, 119676, 183603, 281677, 432138, 662969, 1017100, 1560393, 2393890, 3672606, 5634358, 8643995, 13261253, 20344855, 31212218
(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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R. H. Hardin, Table of n, a(n) for n=4..500
Index entries for linear recurrences with constant coefficients, signature (1,1,0,0,0,-1).
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FORMULA
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G.f. -x^4*(-13-8*x+x^2+2*x^3+4*x^4+8*x^5) / ( (x-1)*(x^5+x^4+x^3+x^2-1) ). - R. J. Mathar, Dec 01 2011
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CROSSREFS
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Sequence in context: A164461 A164499 A164442 * A164488 A164436 A164457
Adjacent sequences: A164417 A164418 A164419 * A164421 A164422 A164423
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Aug 14 2009
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STATUS
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approved
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