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A164423
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Number of binary strings of length n with no substrings equal to 0000 0010 or 1100
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1
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13, 21, 35, 59, 100, 171, 292, 497, 845, 1436, 2440, 4147, 7050, 11986, 20378, 34645, 58899, 100131, 170227, 289394, 491985, 836402, 1421931, 2417363, 4109652, 6986636, 11877667, 20192690, 34328690, 58360674, 99216379, 168673341
(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 (1,1,0,0,0,1,1).
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FORMULA
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G.f. -x^4*(13+8*x+x^2+3*x^3+6*x^4+12*x^5+8*x^6) / ( -1+x+x^2+x^6+x^7 ). - R. J. Mathar, Dec 01 2011
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CROSSREFS
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Sequence in context: A164465 A164471 A164477 * A164422 A164500 A164430
Adjacent sequences: A164420 A164421 A164422 * A164424 A164425 A164426
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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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