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Number of nX3 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 13:34:24

%S 3,33,420,5880,82320,1152480,16134720,225886080,3162405120,

%T 44273671680,619831403520,8677639649280,121486955089920,

%U 1700817371258880,23811443197624320,333360204766740480,4667042866734366720

%N Number of nX3 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 3 of A222944

%H R. H. Hardin, <a href="/A222941/b222941.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) for n>3

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 09 2013