A164432 Number of binary strings of length n with no substrings equal to 0000 0101 or 0110.

13, 21, 34, 57, 95, 158, 262, 435, 722, 1199, 1991, 3306, 5489, 9114, 15133, 25127, 41721, 69274, 115023, 190985, 317113, 526537, 874266, 1451638, 2410311, 4002099, 6645116, 11033602, 18320278, 30419131, 50508160, 83864139, 139248664

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 (1,0,1,1,0,1).

Formula

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

Crossrefs

Sequence in context: A164439 A164492 A164451 * A034292 A163113 A164496

Adjacent sequences: A164429 A164430 A164431 * A164433 A164434 A164435

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved