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Number of (n+1)X8 0..2 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
0

%I #4 Mar 31 2012 12:35:56

%S 2968,11128,422992,18149260,1001709070,53028481224

%N Number of (n+1)X8 0..2 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 7 of A184081

%e Some solutions for 3X8

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

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

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

%e ...

%e ...0..1..2..2..2..2..3.......0..0..1..2..3..4..4.......2..2..2..2..3..4..5...

%e ...1..2..2..2..2..2..3.......0..1..2..3..4..5..4.......3..2..2..2..2..3..4...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2011