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Number of nX4 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 09:16:40

%S 7,1491,5582,1111758,74291246,4880049141,389508194942,27699226366664,

%T 2042688438853046,150861160228667273,11013390296591173682,

%U 811261309191888128929,59501169321682017016007,4370561055048721695182562

%N Number of nX4 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself.

%C Column 4 of A265965.

%H R. H. Hardin, <a href="/A265963/b265963.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A265965.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2015