A164460 Number of binary strings of length n with no substrings equal to 0001 0011 or 1101.

13, 21, 33, 50, 76, 115, 173, 261, 393, 591, 889, 1336, 2007, 3015, 4528, 6800, 10212, 15335, 23028, 34580, 51926, 77973, 117085, 175815, 264004, 396428, 595275, 893863, 1342221, 2015473, 3026425, 4544465, 6823946, 10246803, 15386547, 23104360

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 (2,0,-1,-1,1,1,-1).

Formula

G.f.: -x^4*(-13+5*x+9*x^2+3*x^3-10*x^4-4*x^5+8*x^6) / ( (x-1)*(x^6-x^4+x^2+x-1) ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164444 A164438 A164490 * A164448 A164424 A164450

Adjacent sequences: A164457 A164458 A164459 * A164461 A164462 A164463

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved