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%I #10 Jan 15 2017 11:46:39
%S 147,2553,55857,1389521,33587307,829488619,20777533329,526362000253,
%T 13427566678795,344521962594233,8881010153820905,229838062571779167,
%U 5967837405163476141,155396432549860039531,4056271778433576967047
%N Number of (n+1) X 3 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4.
%C Column 2 of A183748.
%H R. H. Hardin, <a href="/A183741/b183741.txt">Table of n, a(n) for n = 1..200</a>
%e Some solutions for 5 X 3:
%e ..0..0..1....0..0..1....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0
%e ..0..1..1....1..0..2....1..0..2....2..0..0....0..0..0....1..2..1....1..0..2
%e ..0..2..2....1..0..2....2..2..0....0..2..2....2..2..1....0..2..2....2..1..0
%e ..1..2..0....1..2..2....2..2..0....2..2..0....1..2..0....2..0..0....2..1..2
%e ..1..0..2....1..1..1....2..0..1....1..0..1....0..2..0....0..2..0....2..1..1
%e ...
%e ...M..M.......M..M.......M..M.......M..M.......M..M.......M..E.......M..M...
%e ...M..P.......M..E.......P..E.......E..E.......E..M.......P..P.......E..M...
%e ...P..P.......E..P.......P..E.......P..P.......P..P.......E..E.......P..E...
%e ...E..E.......P..P.......P..M.......P..M.......P..E.......E..M.......P..P...
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
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