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A164415
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Number of binary strings of length n with no substrings equal to 0000, 0001, or 1100.
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2
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1, 2, 4, 8, 13, 22, 38, 65, 112, 193, 332, 572, 985, 1696, 2921, 5030, 8662, 14917, 25688, 44237, 76180, 131188, 225917, 389048, 669973, 1153750, 1986854, 3421529, 5892160, 10146793, 17473628, 30091052, 51819313, 89237200, 153673937, 264639398, 455731222
(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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Alois P. Heinz, Table of n, a(n) for n = 0..2000 (first 500 terms from R. H. Hardin)
Index entries for linear recurrences with constant coefficients, signature (1, 1, 1, -1).
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FORMULA
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G.f.: -(x+1)*(x^5-x^2-1)/(x^4-x^3-x^2-x+1). - R. J. Mathar, Nov 28 2011
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CROSSREFS
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Sequence in context: A074467 A018066 A164509 * A233274 A164417 A258600
Adjacent sequences: A164412 A164413 A164414 * A164416 A164417 A164418
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KEYWORD
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nonn,easy
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AUTHOR
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R. H. Hardin, Aug 14 2009
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EXTENSIONS
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Edited by Alois P. Heinz, Oct 12 2017
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STATUS
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approved
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