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Number of (n+1)X4 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
1

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

%S 150,239,1436,5760,25954,104404,422992,1588555,5471235,17366119,

%T 50883759,138309491,350886736,834954298,1873682709,3985258309,

%U 8070671272,15625241986,29027866689,51922380121,89705278727,150134603779

%N Number of (n+1)X4 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 3 of A184081

%H R. H. Hardin, <a href="/A184075/b184075.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 3X4

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

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

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

%e ...

%e ...4..5..6.......2..3..4.......1..2..3.......5..6..7.......1..2..3...

%e ...5..6..5.......3..4..3.......2..2..2.......5..6..7.......2..1..2...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2011