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Number of n X 4 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself.
1

%I #6 Jan 15 2024 12:43:18

%S 11,4267,31940,8205996,661278762,50708665808,8616991831997,

%T 812470633027474,88302323065756823,11721293299774938781,

%U 1270040611497678795909,146824260472579851641824

%N Number of n X 4 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself.

%C Column 4 of A265960.

%H R. H. Hardin, <a href="/A265958/b265958.txt">Table of n, a(n) for n = 1..91</a>

%e Some solutions for n=3

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

%e ..4..0..0..5....0..7..7..1....0..8..0..1....5..3..1..1....0..7..7..0

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

%Y Cf. A265960.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2015