login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A164504 Number of binary strings of length n with no substrings equal to 0011 0101 or 1010 1
13, 22, 36, 58, 93, 148, 234, 368, 576, 898, 1395, 2160, 3335, 5136, 7891, 12098, 18512, 28276, 43119, 65654, 99826, 151586, 229904, 348290, 527077, 796846, 1203561, 1816264, 2738601, 4126078, 6211884, 9345518, 14050545, 21110920, 31699962 (list; graph; refs; listen; history; text; internal format)
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,-1,2,-2,0,-1).

FORMULA

G.f. -x^4*(-13+4*x-5*x^2+18*x^3+5*x^4+8*x^5) / ( (x^3+x-1)^2 ). - R. J. Mathar, Jan 19 2011

MATHEMATICA

LinearRecurrence[{2, -1, 2, -2, 0, -1}, {13, 22, 36, 58, 93, 148}, 40] (* Harvey P. Dale, Nov 13 2015 *)

CROSSREFS

Sequence in context: A336263 A059408 A164455 * A162245 A159302 A172187

Adjacent sequences:  A164501 A164502 A164503 * A164505 A164506 A164507

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)