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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

R. H. Hardin, Table of n, a(n) for n=4..500

Index entries for linear recurrences with constant coefficients, signature (2,-1,1,0,-1,1,-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

Adjacent sequences:  A164443 A164444 A164445 * A164447 A164448 A164449

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified June 16 21:15 EDT 2021. Contains 345080 sequences. (Running on oeis4.)