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Number of nX3 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself.
1

%I #4 Dec 17 2015 10:06:12

%S 5,137,1330,30363,544092,9831410,185555660,3446658882,64319089694,

%T 1199098819080,22364131445571,417190960294802,7779917972805386,

%U 145112215710497400,2706516080784304796,50479139484195509572

%N Number of nX3 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself.

%C Column 3 of A265878.

%H R. H. Hardin, <a href="/A265875/b265875.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..0..1..2....0..4..0....1..4..0....2..1..1....0..4..1....0..3..1....0..0..3

%e ..4..1..3....2..2..3....0..2..4....1..0..2....2..0..3....2..5..0....4..1..1

%e ..0..6..0....0..6..0....3..3..0....2..2..4....2..0..3....1..5..0....2..6..0

%e ..0..3..0....0..0..0....0..4..1....3..0..0....3..2..0....0..3..1....1..0..0

%Y Cf. A265878.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2015