%I #4 Dec 20 2015 11:20:29

%S 4,35,34,81,809,1750,5071,29256,93170,300067,1374813,4881352,17156265,

%T 70554601,260365422,950843894,3740973714,13990748422,52014399980,

%U 200564580212,754390821186,2828195071320,10800225596334,40733212835196

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

%C Column 3 of A266067.

%H R. H. Hardin, <a href="/A266063/b266063.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A266063/a266063.txt">Empirical recurrence of order 78</a>

%F Empirical recurrence of order 78 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266067.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2015