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A164424
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Number of binary strings of length n with no substrings equal to 0000 0010 or 1101
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1
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13, 21, 33, 51, 78, 118, 178, 268, 403, 605, 907, 1359, 2036, 3050, 4568, 6840, 10241, 15333, 22957, 34371, 51458, 77038, 115334, 172668, 258503, 387005, 579383, 867391, 1298568, 1944082, 2910476, 4357256, 6523221, 9765877, 14620441, 21888179
(list;
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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,-1,0,1,0,-1).
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FORMULA
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G.f. -x^4*(-13+5*x-4*x^2-6*x^3+4*x^4+8*x^5) / ( (x-1)*(x^5+x^4+x-1) ). - R. J. Mathar, Dec 01 2011
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CROSSREFS
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Sequence in context: A164490 A164460 A164448 * A164450 A164461 A164499
Adjacent sequences: A164421 A164422 A164423 * A164425 A164426 A164427
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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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