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Number of nX2 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 #6 Mar 31 2012 12:37:23

%S 2,12,159,3233,90863,3319375,151329962,8361244271,547602710174,

%T 41777867546601,3661037447467531,364246254286662678,

%U 40745454539546524768,5082061117905260420201,701704324509709771589604

%N Number of nX2 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 2 of A208581

%H R. H. Hardin, <a href="/A208577/b208577.txt">Table of n, a(n) for n = 1..109</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..0....1..0....1..1....1..0....1..0....1..1....1..0....1..0

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 29 2012