%I
%S 20,36,130,382,924,1884,3463,5800,9065,13397,18940,25837,34232,44269,
%T 56092,69845,85672,103717,124124,147037,172600,200957,232252,266629,
%U 304232,345205,389692,437837,489784,545677,605660,669877,738472,811589
%N Number of (n+1) X 4 binary arrays with rows and columns in nondecreasing order and with no 2 X 2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one.
%C Column 3 of A184071.
%H R. H. Hardin, <a href="/A184065/b184065.txt">Table of n, a(n) for n = 1..200</a>
%F Conjectures from _Colin Barker_, Apr 11 2018: (Start)
%F G.f.: x*(20  44*x + 106*x^2  2*x^3 + 52*x^4  4*x^5 + 73*x^6  62*x^7 + 31*x^8  31*x^9 + 5*x^10  x^11 + x^12) / (1  x)^4.
%F a(n) = 757 + 14*n  115*n^2 + 24*n^3 for n>9.
%F a(n) = 4*a(n1)  6*a(n2) + 4*a(n3)  a(n4) for n>13.
%F (End)
%e Some solutions for 3 X 4:
%e ..0..1..1..1....0..1..1..1....0..0..0..1....0..0..1..1....0..0..1..1
%e ..1..0..1..1....1..0..0..0....0..1..1..0....0..1..0..0....0..1..0..1
%e ..1..1..1..1....1..0..1..1....1..0..1..1....0..1..1..1....1..0..0..1
%e ...
%e ...2..3..4.......2..2..2.......1..2..2.......1..2..2.......1..2..3...
%e ...3..3..4.......2..1..2.......2..3..3.......2..3..2.......2..1..2...
%Y Cf. A184071.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 09 2011
