|
%I #4 May 29 2014 10:50:17
%S 14,47,178,738,3255,14932,70167,334488,1608035,7768793,37640892,
%T 182680585,887456524,4313673443,20974431432,102003754546,496124206009,
%U 2413196996300,11738469754249,57100473355260,277762407810833
%N Number of length n+3 0..4 arrays with no four elements in a row with pattern abab (with a!=b) and new values 0..4 introduced in 0..4 order
%C Column 4 of A243044
%H R. H. Hardin, <a href="/A243040/b243040.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) -14*a(n-2) -10*a(n-3) +13*a(n-4) +28*a(n-5) +9*a(n-6) -12*a(n-7) -14*a(n-8) -6*a(n-9) -a(n-10)
%e Some solutions for n=4
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....0....0....1....1....1....1....1....1....0....1....1....1....0....1
%e ..2....1....1....0....1....2....2....2....0....2....1....2....2....0....1....2
%e ..0....1....0....1....0....1....3....1....2....3....0....3....3....0....1....1
%e ..1....1....2....2....0....3....3....3....3....1....2....2....2....0....2....0
%e ..3....2....0....1....0....2....4....2....0....1....2....2....0....2....2....3
%e ..1....3....3....3....0....2....3....0....2....0....0....2....4....2....1....2
%K nonn
%O 1,1
%A _R. H. Hardin_, May 29 2014
| 