%I #7 Jan 14 2017 01:58:07
%S 888,35524,1739668,104016508,5856201636,341710892328,20208751939268,
%T 1213346056106724,73322848934272924,4459182985398868984,
%U 272447106073726052548,16714117356512860910632,1028762217808136919742044
%N Number of (n+1) X 3 0..3 arrays with equal numbers of 2 X 2 subblocks with sum over 6 and with sum under 6.
%C Column 2 of A183756.
%H R. H. Hardin, <a href="/A183751/b183751.txt">Table of n, a(n) for n = 1..147</a>
%e Some solutions for 5 X 3:
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e ..1..0..0....0..0..1....0..0..0....0..0..0....1..0..0....1..0..0....1..0..0
%e ..2..3..3....1..1..2....3..2..1....2..2..0....1..3..0....0..2..1....0..3..2
%e ..3..1..2....3..2..3....2..1..3....3..3..3....3..3..3....3..3..1....3..3..2
%e ..2..0..3....3..2..1....2..3..1....2..3..3....0..1..3....1..3..1....3..1..3
%e ...
%e ...M..M.......M..M.......M..M.......M..M.......M..M.......M..M.......M..M...
%e ...E..E.......M..M.......M..M.......M..M.......M..M.......M..M.......M..M...
%e ...P..P.......P..P.......P..P.......P..P.......P..P.......P..P.......P..P...
%e ...E..E.......P..P.......P..P.......P..P.......P..P.......P..P.......P..P...
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011