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A164461
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Number of binary strings of length n with no substrings equal to 0001 0011 or 1110
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1
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13, 21, 33, 51, 79, 121, 185, 283, 431, 657, 1001, 1523, 2319, 3529, 5369, 8171, 12431, 18913, 28777, 43779, 66607, 101337, 154169, 234555, 356847, 542897, 825961, 1256595, 1911759, 2908521, 4424953, 6732043, 10241999, 15581953, 23706089
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listen;
history;
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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 (1,1,1,-2).
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FORMULA
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G.f. -x^4*(-13-8*x+x^2+16*x^3) / ( (x-1)*(2*x^3+x^2-1) ). - R. J. Mathar, Jan 19 2011
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MATHEMATICA
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LinearRecurrence[{1, 1, 1, -2}, {13, 21, 33, 51}, 40] (* Harvey P. Dale, Dec 12 2017 *)
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CROSSREFS
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Sequence in context: A164448 A164424 A164450 * A164499 A164442 A164488
Adjacent sequences: A164458 A164459 A164460 * A164462 A164463 A164464
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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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