%I #4 Jun 21 2014 21:27:52
%S 49,189,811,3803,19113,101200,556443,3141344,18055451,105031051,
%T 615855357,3630021442,21469739425,127267424833,755516316275,
%U 4489379505664,26693206393472,158778998961063,944717095247720
%N Number of length n+4 0..5 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..5 introduced in 0..5 order
%C Column 5 of A244185
%H R. H. Hardin, <a href="/A244180/b244180.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +4*a(n-2) -44*a(n-3) -104*a(n-4) -72*a(n-5) +290*a(n-6) +1095*a(n-7) +2087*a(n-8) +2522*a(n-9) +1293*a(n-10) -2295*a(n-11) -8084*a(n-12) -14734*a(n-13) -20253*a(n-14) -22955*a(n-15) -22128*a(n-16) -18438*a(n-17) -13301*a(n-18) -8283*a(n-19) -4402*a(n-20) -1946*a(n-21) -694*a(n-22) -179*a(n-23) -30*a(n-24)
%e Some solutions for n=6
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....1....0....1....1....1....1....0....1....1....1....1....1....0....1
%e ..2....1....1....1....2....2....1....2....1....1....2....2....0....2....1....1
%e ..2....2....0....0....1....1....2....0....2....2....3....1....2....0....2....2
%e ..3....3....2....1....3....3....0....0....3....3....1....1....1....3....3....3
%e ..4....3....0....1....2....4....2....3....3....1....3....1....3....2....2....3
%e ..4....2....2....2....1....3....3....1....2....0....4....0....4....0....1....0
%e ..4....0....3....3....4....1....0....1....1....0....0....3....0....2....4....0
%e ..4....3....3....2....5....0....2....4....0....1....2....0....5....1....5....1
%e ..1....3....0....3....3....5....1....3....4....3....2....4....4....1....3....2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 21 2014