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A164446
Number of binary strings of length n with no substrings equal to 0001 0010 or 0101.
1
13, 22, 37, 62, 103, 172, 286, 475, 789, 1311, 2177, 3615, 6003, 9968, 16551, 27482, 45632, 75768, 125806, 208890, 346843, 575901, 956231, 1587734, 2636286, 4377310, 7268120, 12068043, 20037872, 33271038, 55243489, 91726716, 152303748
OFFSET
4,1
FORMULA
G.f.: -x^4*(-13+4*x-6*x^2+3*x^3+6*x^4-4*x^5+8*x^6) / ( (x-1)*(x^6+x^4+x^3+x-1) ). - R. J. Mathar, Jan 19 2011
MATHEMATICA
LinearRecurrence[{2, -1, 1, 0, -1, 1, -1}, {13, 22, 37, 62, 103, 172, 286}, 40] (* Harvey P. Dale, Mar 12 2016 *)
CROSSREFS
Sequence in context: A172187 A164412 A164472 * A164506 A164440 A164435
KEYWORD
nonn,easy
AUTHOR
R. H. Hardin, Aug 14 2009
STATUS
approved