A164422 Number of binary strings of length n with no substrings equal to 0000 0010 or 1010.

13, 21, 35, 60, 102, 171, 287, 484, 817, 1377, 2319, 3907, 6585, 11098, 18701, 31512, 53102, 89486, 150797, 254112, 428212, 721597, 1215992, 2049113, 3453034, 5818835, 9805537, 16523676, 27844658, 46922064, 79070112, 133243983, 224534381

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

Formula

G.f.: -x^4*(13+8*x+14*x^2+12*x^3+8*x^4) / ( -1+x+x^3+x^4+x^5 ). - R. J. Mathar, Dec 01 2011

Crossrefs

Sequence in context: A164471 A164477 A164423 * A164500 A164430 A045679

Adjacent sequences: A164419 A164420 A164421 * A164423 A164424 A164425

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved