A243386 - OEIS

%I #4 Jun 04 2014 07:27:37

%S 14,46,174,736,3406,16910,88473,480524,2677917,15183903,87081621,

%T 503166559,2921501848,17016444696,99315740914,580419063740,

%U 3394980926065,19868915344505,116323465551363,681180045964207,3989535214948663

%N Number of length n+3 0..5 arrays with no four elements in a row with pattern abba (with a!=b) and new values 0..5 introduced in 0..5 order

%C Column 5 of A243389

%H R. H. Hardin, <a href="/A243386/b243386.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -99*a(n-2) +313*a(n-3) -584*a(n-4) +752*a(n-5) -757*a(n-6) +592*a(n-7) -370*a(n-8) +191*a(n-9) -74*a(n-10) +25*a(n-11) -5*a(n-12) +a(n-13)

%e Some solutions for n=3

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..1....1....1....0....1....1....0....1....1....0....0....1....1....0....1....0

%e ..2....0....0....1....0....2....1....1....2....0....0....0....2....1....2....1

%e ..2....2....1....0....0....0....0....2....0....1....1....2....3....2....1....0

%e ..2....2....0....2....2....1....1....2....2....2....0....1....2....3....3....0

%e ..1....3....0....0....1....2....1....3....0....0....2....1....0....1....1....2

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 04 2014