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Number of (n+1)X6 binary 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
1

%I #5 Mar 31 2012 12:35:56

%S 54,134,924,7671,56723,288744,1201502,4136338,11927710,29250767,

%T 62876028,120904433,212281665,345771803,530007739,773304379,

%U 1083892502,1469984808,1939804454,2501586120,3163566510,3933982328,4821070278,5833067064

%N Number of (n+1)X6 binary 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 5 of A184071

%H R. H. Hardin, <a href="/A184067/b184067.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 3X6

%e ..0..0..0..0..0..1....0..0..0..0..1..1....0..1..1..1..1..1....0..0..0..1..1..1

%e ..0..0..0..1..1..0....0..0..1..1..0..0....1..0..0..0..0..1....0..1..1..0..0..0

%e ..0..0..1..0..1..0....0..1..0..1..0..1....1..0..1..1..1..0....1..0..0..0..1..1

%e ...

%e ...0..0..1..2..2.......0..1..2..2..2.......2..2..2..2..3.......1..2..2..2..2...

%e ...0..1..2..3..2.......1..2..3..2..1.......2..1..2..2..2.......2..2..1..1..2...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2011