%I #4 Jul 04 2014 14:24:20
%S 50,192,823,3877,19808,108791,637852,3969996,26107708,180673040,
%T 1310878363,9936630366,78410615256,641745990003,5426657117884,
%U 47225199713541,421301933548486,3838582073808844,35596716460818879
%N Number of length n+4 0..9 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..9 introduced in 0..9 order
%C Column 9 of A244702
%H R. H. Hardin, <a href="/A244701/b244701.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 38*a(n-1) -574*a(n-2) +4276*a(n-3) -15029*a(n-4) +12263*a(n-5) +48204*a(n-6) -16847*a(n-7) -203774*a(n-8) -274320*a(n-9) +337901*a(n-10) +1264190*a(n-11) +1574718*a(n-12) +434569*a(n-13) -1814318*a(n-14) -3975030*a(n-15) -5698180*a(n-16) -6798034*a(n-17) -7216705*a(n-18) -6361941*a(n-19) -4141269*a(n-20) -1415098*a(n-21) +1117645*a(n-22) +2963339*a(n-23) +4238015*a(n-24) +4880440*a(n-25) +4838799*a(n-26) +4315267*a(n-27) +3525637*a(n-28) +2742853*a(n-29) +2014392*a(n-30) +1390851*a(n-31) +910679*a(n-32) +565426*a(n-33) +343188*a(n-34) +195749*a(n-35) +106036*a(n-36) +55321*a(n-37) +27440*a(n-38) +13678*a(n-39) +5894*a(n-40) +2555*a(n-41) +1107*a(n-42) +410*a(n-43) +175*a(n-44) +36*a(n-45) +21*a(n-46) +8*a(n-47) -a(n-48) +a(n-49)
%e Some solutions for n=2
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....1....0....1....1....1....1....1....1....0....1....1....1....1....1....0
%e ..2....2....1....0....1....2....2....2....2....0....2....0....2....2....1....1
%e ..1....3....2....0....2....2....0....1....3....0....3....2....1....2....0....0
%e ..2....3....3....1....2....3....0....2....2....1....4....1....3....1....2....1
%e ..2....3....3....1....3....2....3....0....2....1....2....2....1....0....3....2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 04 2014