A164469 Number of binary strings of length n with no substrings equal to 0001 0101 or 0110.

13, 20, 32, 51, 81, 128, 201, 316, 497, 781, 1227, 1927, 3026, 4752, 7462, 11717, 18398, 28888, 45359, 71221, 111828, 175587, 275698, 432887, 679697, 1067225, 1675701, 2631098, 4131212, 6486612, 10184937, 15991852, 25109564, 39425715, 61904181

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,-1).

Formula

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

a(n) = 2*a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6). - Wesley Ivan Hurt, Apr 25 2023

Crossrefs

Sequence in context: A164478 A164463 A164470 * A164462 A132946 A278470

Adjacent sequences: A164466 A164467 A164468 * A164470 A164471 A164472

Keyword

nonn

Author

R. H. Hardin, Aug 14 2009

Status

approved