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Number of (7+1)X(n+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.
1

%I #6 Jun 02 2025 10:32:58

%S 305991368,310512400748,114701510008550,20552060379396424,

%T 2134102396738819286,144607697103715449366,6950854990205965398511,

%U 251944939127223553670932,7212104449092454367810317

%N Number of (7+1)X(n+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01.

%C Row 7 of A251801

%H R. H. Hardin, <a href="/A251807/b251807.txt">Table of n, a(n) for n = 1..13</a>

%e Some solutions for n=1

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014