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Number of 6Xn 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 203,3319375,493060277544,314946169382603268,596705277048973363385024

%N Number of 6Xn 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 6 of A208581

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 29 2012