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 A164414 Number of binary strings of length n with no substrings equal to 0000, 0001, or 1010. 2
 1, 2, 4, 8, 13, 22, 37, 63, 107, 181, 307, 521, 883, 1497, 2539, 4305, 7299, 12377, 20987, 35585, 60339, 102313, 173483, 294161, 498787, 845753, 1434075, 2431649, 4123155, 6991305, 11854603, 20100913, 34083523, 57792729, 97994555, 166161601, 281747059 (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 (1,0,2). FORMULA From R. J. Mathar, Nov 30 2011: (Start) a(n) = 13*A077949(n-4) + 9*A077949(n-5) + 15*A077949(n-6). G.f.: (x^6-x^5-x^4-2*x^3-2*x^2-x-1)/(2*x^3+x-1). (End) CROSSREFS Cf. A077949. Sequence in context: A164437 A164428 A164507 * A164411 A074467 A018066 Adjacent sequences:  A164411 A164412 A164413 * A164415 A164416 A164417 KEYWORD easy,nonn,changed AUTHOR R. H. Hardin, Aug 14 2009 EXTENSIONS a(0)-a(3) from Alois P. Heinz, Jun 10 2021 STATUS approved

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Last modified June 13 18:45 EDT 2021. Contains 345008 sequences. (Running on oeis4.)