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

%I #4 Dec 19 2015 09:16:05

%S 2,50,150,5582,59454,809199,12253344,172499046,2472824902,35500451150,

%T 508045097098,7282384171365,104368818508683,1495505413391238,

%U 21431556255615852,307122975469556954,4401164677075990109

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

%C Column 3 of A265965.

%H R. H. Hardin, <a href="/A265962/b265962.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A265965.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2015