A164453 Number of binary strings of length n with no substrings equal to 0001 0011 or 0100.

13, 21, 35, 58, 97, 163, 273, 457, 765, 1280, 2142, 3585, 6000, 10042, 16807, 28129, 47078, 78792, 131870, 220704, 369381, 618214, 1034673, 1731679, 2898222, 4850605, 8118208, 13587027, 22739908, 38058614, 63696744, 106605963, 178420915

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,-1,1).

Formula

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

Crossrefs

Sequence in context: A163113 A164496 A164459 * A164465 A164471 A164477

Adjacent sequences: A164450 A164451 A164452 * A164454 A164455 A164456

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved