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A164482
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Number of binary strings of length n with no substrings equal to 0001, 0110, or 1110.
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1
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1, 2, 4, 8, 13, 20, 29, 41, 57, 78, 106, 143, 192, 257, 343, 457, 608, 808, 1073, 1424, 1889, 2505, 3321, 4402, 5834, 7731, 10244, 13573, 17983, 23825, 31564, 41816, 55397, 73388, 97221, 128793, 170617, 226022, 299418, 396647, 525448, 696073, 922103, 1221529
(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..2500 (terms n=4..500 from R. H. Hardin)
Index entries for linear recurrences with constant coefficients, signature (1,1,0,-1).
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FORMULA
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G.f.: (x+1)*(x^4+x^3+x^2+1) / ( (x-1)*(x^3+x^2-1) ). - R. J. Mathar, Jan 19 2011
a(n) = A000931(n+13) - 8 for n >= 2. - Greg Dresden, May 18 2020
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CROSSREFS
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Sequence in context: A056133 A172131 A173721 * A349216 A247587 A061866
Adjacent sequences: A164479 A164480 A164481 * A164483 A164484 A164485
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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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EXTENSIONS
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Edited by Alois P. Heinz, Oct 19 2018
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STATUS
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approved
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