%I #7 Jan 14 2017 01:59:09
%S 19,147,147,1041,2553,1041,10231,55857,55857,10231,76355,1389521,
%T 3631179,1389521,76355,639129,33587307,263234281,263234281,33587307,
%U 639129,5262685,829488619,19216153673,55212617129,19216153673,829488619,5262685
%N T(n,k) = number of (n+1) X (k+1) 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4.
%C Table starts
%C .........19.............147.................1041...................10231
%C ........147............2553................55857.................1389521
%C .......1041...........55857..............3631179...............263234281
%C ......10231.........1389521............263234281.............55212617129
%C ......76355........33587307..........19216153673..........12024860660055
%C .....639129.......829488619........1426003404195........2669694620697299
%C ....5262685.....20777533329......107098914678533......600788747889666009
%C ...45272931....526362000253.....8126407481779133...136582348832416596017
%C ..382928623..13427566678795...621298001439642413.31294543292138683447483
%C .3284527183.344521962594233.47785646470869878477
%H R. H. Hardin, <a href="/A183748/b183748.txt">Table of n, a(n) for n = 1..83</a>
%e Some solutions for 4 X 3:
%e ..1..1..2....2..2..2....0..1..2....0..0..2....2..1..1....2..1..2....2..1..1
%e ..0..2..1....2..0..0....1..0..1....1..0..0....2..0..1....1..0..2....1..2..0
%e ..1..0..2....2..0..0....1..2..0....1..2..2....2..0..1....0..0..2....2..0..2
%e ..0..0..2....1..2..0....1..2..1....2..0..2....1..2..1....2..2..0....1..0..1
%e ...
%e ...E..P.......P..E.......M..E.......M..M.......P..M.......E..P.......P..E...
%e ...M..P.......E..M.......E..M.......E..E.......E..M.......M..E.......P..E...
%e ...M..E.......P..M.......P..P.......P..P.......P..E.......E..E.......M..M...
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
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