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Number of nX5 0..4 arrays with no element equal to another at a city block distance of exactly two, and new values 0..4 introduced in row major order
1

%I #4 Mar 09 2013 13:35:46

%S 20,2433,82320,2883000,100692120,3510873720,122511965400,

%T 4273149243000,149059992633720,5199524649003000,181370629635282360,

%U 6326611100912309880,220686102418837715640,7698019468039834665720,268523926123551652847160

%N Number of nX5 0..4 arrays with no element equal to another at a city block distance of exactly two, and new values 0..4 introduced in row major order

%C Column 5 of A222944

%H R. H. Hardin, <a href="/A222943/b222943.txt">Table of n, a(n) for n = 1..173</a>

%F Empirical: a(n) = 39*a(n-1) -5650*a(n-3) +4996*a(n-4) +682880*a(n-5) -2308736*a(n-6) -18242688*a(n-7) +99488000*a(n-8) -77840384*a(n-9) -886554624*a(n-10) +2941747200*a(n-11) +736690176*a(n-12) -9720299520*a(n-13) +28991029248*a(n-15) -21743271936*a(n-16) for n>18

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 09 2013