A164472 Number of binary strings of length n with no substrings equal to 0001 0101 or 1010.

13, 22, 37, 61, 101, 167, 276, 456, 753, 1244, 2055, 3394, 5606, 9260, 15295, 25263, 41728, 68924, 113844, 188040, 310593, 513018, 847370, 1399632, 2311824, 3818524, 6307195, 10417825, 17207503, 28422261, 46946087, 77542569, 128079896

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

Formula

G.f.: -x^4*(-13-9*x-15*x^2+2*x^3+4*x^4+8*x^5) / ( 1-x-2*x^3+x^6 ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A159302 A172187 A164412 * A164446 A164506 A164440

Adjacent sequences: A164469 A164470 A164471 * A164473 A164474 A164475

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved