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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 one of its immediate leftward or upward or right-upward antidiagonal neighbors
1

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

%S 15,3024,2946848,7289707650,36182978136598,314946169382603268,

%T 4397499594659018513529,92408426611916813238982284,

%U 2785236864744413991459135045397,115957546355673301589831649844689014

%N Number of nX4 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 Column 4 of A208581

%H R. H. Hardin, <a href="/A208579/b208579.txt">Table of n, a(n) for n = 1..15</a>

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 29 2012