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%I #5 Mar 31 2012 12:35:56
%S 684,1146,9483,40401,235003,1025854,4969133,22190358,100488243,
%T 437074150,1877449556,7754457028,30996990781,118227838313,
%U 431216031421,1495925257951,4946248543125,15573619100906,46781648655093
%N Number of (n+1)X4 0..3 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
%C Column 3 of A184095
%H R. H. Hardin, <a href="/A184089/b184089.txt">Table of n, a(n) for n = 1..200</a>
%e Some solutions for 3X4
%e ..2..2..3..3....1..1..1..2....1..1..3..3....1..1..1..3....1..1..2..2
%e ..2..3..1..3....1..2..2..1....1..2..0..1....2..3..3..2....1..3..0..2
%e ..3..2..3..3....3..0..2..2....1..2..3..3....3..0..3..0....2..0..2..1
%e ...
%e ...9..9..10.......5..6..6.......5..6..7.......7..8..9.......6..6..6...
%e ...10..9..10.......6..6..7.......6..7..7.......8..9..8.......6..5..5...
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 09 2011