A164445 Number of binary strings of length n with no substrings equal to 0001 0010 or 0100

13, 22, 38, 66, 113, 193, 331, 568, 974, 1669, 2861, 4905, 8409, 14415, 24711, 42362, 72621, 124493, 213416, 365856, 627182, 1075169, 1843146, 3159678, 5416590, 9285581, 15918135, 27288225, 46779804, 80193932, 137475281, 235671857

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

Formula

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

Prog

(PARI) x='x+O('x^99); Vec(x^4*(13+9*x+3*x^2+6*x^3-4*x^4-8*x^5)/(1-x-x^2-x^4+x^6)) \\ Altug Alkan, Aug 04 2017

Crossrefs

Sequence in context: A164410 A164421 A164493 * A164418 A301788 A164409

Adjacent sequences: A164442 A164443 A164444 * A164446 A164447 A164448

Keyword

nonn

Author

R. H. Hardin, Aug 14 2009

Status

approved