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Number of 2Xn 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 2,12,152,3024,84124,3057664,139056380,7675358704,502604958608,

%T 38359095933912,3363791582993716,334974400169588800,

%U 37509570331200251508,4683620100177290725336,647429265450114057846496

%N Number of 2Xn 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 2 of A208581

%H R. H. Hardin, <a href="/A208582/b208582.txt">Table of n, a(n) for n = 1..27</a>

%e Some solutions for n=4

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 29 2012