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A164477
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Number of binary strings of length n with no substrings equal to 0001 0110 or 1000.
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2
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13, 21, 35, 59, 100, 170, 289, 492, 838, 1428, 2434, 4149, 7073, 12058, 20557, 35047, 59751, 101869, 173676, 296100, 504821, 860670, 1467358, 2501702, 4265158, 7271679, 12397505, 21136540, 36035745, 61437441, 104744863, 178579807
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refs;
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 (2,0,-1,0,1,-1).
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FORMULA
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G.f.: -x^4*(-13+5*x+7*x^2-2*x^3-3*x^4+8*x^5) / ( (x-1)*(x^5+x^2+x-1) ). - R. J. Mathar, Jan 19 2011
a(n) = 2*a(n-1)-a(n-3)+a(n-5)-a(n-6). - Wesley Ivan Hurt, Oct 02 2021
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CROSSREFS
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Sequence in context: A164453 A164465 A164471 * A164423 A164422 A164500
Adjacent sequences: A164474 A164475 A164476 * A164478 A164479 A164480
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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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