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A164445
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Number of binary strings of length n with no substrings equal to 0001 0010 or 0100
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1
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13, 22, 38, 66, 113, 193, 331, 568, 974, 1669, 2861, 4905, 8409, 14415, 24711, 42362, 72621, 124493, 213416, 365856, 627182, 1075169, 1843146, 3159678, 5416590, 9285581, 15918135, 27288225, 46779804, 80193932, 137475281, 235671857
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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 (1,1,0,1,0,-1).
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FORMULA
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G.f.: -x^4*(-13-9*x-3*x^2-6*x^3+4*x^4+8*x^5) / ( 1-x-x^2-x^4+x^6 ). - R. J. Mathar, Jan 19 2011
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PROG
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(PARI) x='x+O('x^99); Vec(x^4*(13+9*x+3*x^2+6*x^3-4*x^4-8*x^5)/(1-x-x^2-x^4+x^6)) \\ Altug Alkan, Aug 04 2017
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CROSSREFS
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Sequence in context: A164410 A164421 A164493 * A164418 A301788 A164409
Adjacent sequences: A164442 A164443 A164444 * A164446 A164447 A164448
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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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