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Number of nX4 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors
1

%I #5 Mar 31 2012 12:37:23

%S 15,4041,4132120,10318694804,51074630353994,441285917587055633,

%T 6105599904286957450405,127076755601333057601660992,

%U 3793882208792084308313815728802,156506565477239116898837571013067198

%N Number of nX4 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Column 4 of A208466

%H R. H. Hardin, <a href="/A208463/b208463.txt">Table of n, a(n) for n = 1..47</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 27 2012