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Number of (n+1)X(n+1) 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
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%I #5 Mar 31 2012 12:35:56

%S 29,74,1436,44050,5727704,2187790488

%N Number of (n+1)X(n+1) 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 Diagonal of A184081

%e Some solutions for 4X4

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

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

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

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

%e ...

%e ...3..4..4.......3..4..4.......1..2..3.......1..2..3.......1..2..3...

%e ...4..4..5.......4..5..4.......2..3..3.......2..3..3.......2..3..2...

%e ...5..5..6.......4..5..5.......2..3..4.......3..3..3.......3..3..3...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2011