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A164419
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Number of binary strings of length n with no substrings equal to 0000, 0010, or 0110.
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1
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1, 2, 4, 8, 13, 21, 33, 55, 92, 156, 260, 433, 717, 1193, 1985, 3310, 5512, 9180, 15277, 25433, 42337, 70495, 117368, 195416, 325336, 541649, 901769, 1501361, 2499601, 4161594, 6928588, 11535360, 19205085, 31974413, 53233921, 88628791, 147557332, 245667060
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..2000 (first 500 terms from R. H. Hardin)
Index entries for linear recurrences with constant coefficients, signature (1,1,-1,1,1,1).
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FORMULA
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G.f.: -(x^5+2*x^4+3*x^3+x^2+x+1)/(x^6+x^5+x^4-x^3+x^2+x-1). - R. J. Mathar, Nov 30 2011
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CROSSREFS
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Sequence in context: A073336 A164420 A164457 * A164480 A134035 A351620
Adjacent sequences: A164416 A164417 A164418 * A164420 A164421 A164422
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KEYWORD
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nonn,easy
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AUTHOR
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R. H. Hardin, Aug 14 2009
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EXTENSIONS
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Edited by Alois P. Heinz, Nov 02 2017
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STATUS
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approved
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