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 A164437 Number of binary strings of length n with no substrings equal to 0000, 0101, or 1111. 1
 1, 2, 4, 8, 13, 22, 37, 62, 104, 174, 292, 490, 821, 1376, 2308, 3870, 6487, 10876, 18237, 30576, 51261, 85946, 144102, 241600, 405064, 679140, 1138659, 1909078, 3200774, 5366466, 8997477, 15085240, 25292069, 42404978, 71096617, 119201278, 199854120, 335077546 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..2000 (terms n=4..500 from R. H. Hardin) Index entries for linear recurrences with constant coefficients, signature (0,0,2,3,2,1). FORMULA G.f.: -(x+1)^2*(x^2+1)^3/(x^6+2*x^5+3*x^4+2*x^3-1). - R. J. Mathar, Jan 19 2011 CROSSREFS Sequence in context: A164441 A338761 A023600 * A164428 A164507 A164414 Adjacent sequences: A164434 A164435 A164436 * A164438 A164439 A164440 KEYWORD nonn AUTHOR R. H. Hardin, Aug 14 2009 EXTENSIONS a(0)-a(3) from Alois P. Heinz, Jun 11 2021 STATUS approved

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Last modified February 24 01:16 EST 2024. Contains 370288 sequences. (Running on oeis4.)