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Number of 7Xn nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors
0

%I #4 Mar 31 2012 12:37:24

%S 877,151329962,346279494967526,4397499594659018513529,

%T 200823740464350277512414467867

%N Number of 7Xn nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Row 7 of A208581

%e Some solutions for n=3

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

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

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

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

%e ..0..1..0....0..1..0....1..0..0....0..1..0....0..1..0....0..1..0....4..5..1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 29 2012