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Number of nX4 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself.
1

%I #4 Dec 17 2015 10:07:02

%S 11,2084,30363,4393458,344222538,26635427570,2364713952883,

%T 192749468823491,16304514146592293,1365864408666301056,

%U 114473947407036061803,9608813664898230605010,805265562989000430944801

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

%C Column 4 of A265878.

%H R. H. Hardin, <a href="/A265876/b265876.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A265878.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2015