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Number of n X 5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than or equal to itself.
1

%I #7 Apr 18 2023 08:49:03

%S 19,2897,112723,11955804,1202209625,134252759220,15090629432544,

%T 1674551042811491,186974407177541859,20855281833499454493,

%U 2324984932736447335502,259314439638504588082785

%N Number of n X 5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than or equal to itself.

%C Column 5 of A196544.

%H R. H. Hardin, <a href="/A196541/b196541.txt">Table of n, a(n) for n = 1..161</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A196544.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 03 2011