A164492 Number of binary strings of length n with no substrings equal to 0010 0101 or 0110.

13, 21, 34, 56, 93, 155, 259, 432, 719, 1195, 1986, 3302, 5492, 9136, 15198, 25281, 42051, 69943, 116335, 193500, 321852, 535345, 890454, 1481114, 2463569, 4097704, 6815793, 11336848, 18856817, 31364944, 52169978, 86775429, 144335401

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,-1,0,1,0,0,1).

Formula

G.f.: -x^4*(13-5*x+5*x^2+9*x^3+2*x^4+4*x^5+8*x^6) / ( -1+2*x-x^2+x^4+x^7 ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164503 A164449 A164439 * A164451 A164432 A034292

Adjacent sequences: A164489 A164490 A164491 * A164493 A164494 A164495

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved