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A164493
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Number of binary strings of length n with no substrings equal to 0010 0101 or 1001
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1
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13, 22, 38, 65, 111, 190, 326, 559, 958, 1642, 2814, 4822, 8263, 14160, 24266, 41585, 71265, 122128, 209292, 358665, 614646, 1053322, 1805084, 3093384, 5301153, 9084622, 15568378, 26679633, 45721063, 78352486, 134273170, 230104815
(list;
graph;
refs;
listen;
history;
text;
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,-1,1,-1,1,0,1).
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FORMULA
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G.f. -x^4*(13-4*x+7*x^2-2*x^3+10*x^4+4*x^5+8*x^6) / ( -1+2*x-x^2+x^3-x^4+x^5+x^7 ). - R. J. Mathar, Jan 19 2011
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CROSSREFS
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Sequence in context: A164443 A164410 A164421 * A164445 A164418 A301788
Adjacent sequences: A164490 A164491 A164492 * A164494 A164495 A164496
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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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