|
%I #4 May 29 2014 10:52:26
%S 14,47,179,760,3545,17955,97849,569236,3508656,22742717,153854313,
%T 1078282250,7775488348,57340807380,430253623025,3271242719566,
%U 25119643436006,194328481547041,1511662452338046,11807232538631331
%N Number of length n+3 0..7 arrays with no four elements in a row with pattern abab (with a!=b) and new values 0..7 introduced in 0..7 order
%C Column 7 of A243044
%H R. H. Hardin, <a href="/A243043/b243043.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 23*a(n-1) -190*a(n-2) +614*a(n-3) -135*a(n-4) -2559*a(n-5) +369*a(n-6) +7121*a(n-7) +5143*a(n-8) -7257*a(n-9) -15107*a(n-10) -9219*a(n-11) +2219*a(n-12) +7955*a(n-13) +6635*a(n-14) +3195*a(n-15) +982*a(n-16) +190*a(n-17) +21*a(n-18) +a(n-19)
%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....1....1....1....1....0....0....1....1....0....1....1....0....1....1
%e ..2....2....2....2....1....2....1....1....0....0....1....2....2....1....2....2
%e ..3....3....2....2....1....3....0....1....2....2....2....1....0....1....3....0
%e ..4....4....2....1....2....1....0....0....3....3....1....3....3....1....3....3
%e ..1....1....2....3....1....1....2....1....4....2....0....3....0....0....4....1
%e ..2....1....1....1....3....4....2....1....0....0....0....4....1....2....0....3
%K nonn
%O 1,1
%A _R. H. Hardin_, May 29 2014
| 