The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A164480 Number of binary strings of length n with no substrings equal to 0001, 0110 or 1100. 1
 1, 2, 4, 8, 13, 21, 34, 55, 88, 142, 229, 370, 598, 967, 1564, 2530, 4093, 6622, 10714, 17335, 28048, 45382, 73429, 118810, 192238, 311047, 503284, 814330, 1317613, 2131942, 3449554, 5581495, 9031048, 14612542, 23643589, 38256130, 61899718, 100155847 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..2000 (first 500 terms from R. H. Hardin) Index entries for linear recurrences with constant coefficients, signature (2,0,-1). FORMULA From Colin Barker, Oct 27 2017: (Start) G.f.: -(x^8+x^5+x^4-x^3-1)/((x-1)*(x^2+x-1)). a(n) = 2*a(n-1) - a(n-3) for n>6. (End) a(n) = 3*Lucas(n-1) + 1 for n >= 6. - Greg Dresden, Oct 10 2020 PROG (PARI) Vec(-(x^8+x^5+x^4-x^3-1)/((x-1)*(x^2+x-1)) + O(x^60)) \\ Colin Barker, Oct 27 2017 CROSSREFS Sequence in context: A164420 A164457 A164419 * A134035 A351620 A078157 Adjacent sequences: A164477 A164478 A164479 * A164481 A164482 A164483 KEYWORD nonn,easy AUTHOR R. H. Hardin, Aug 14 2009 EXTENSIONS Edited by Alois P. Heinz, Oct 27 2017 STATUS approved

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

Last modified March 29 21:39 EDT 2023. Contains 361599 sequences. (Running on oeis4.)