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Number of nX3 array permutations with each element moved and moved by a city block distance of no more than three
1

%I #5 Mar 31 2012 12:36:14

%S 2,265,78976,22666641,4064659324,741295637637,144279772457456,

%T 28624027037417040,5598968416725014336,1090382503789570607376,

%U 212622119350607875451536,41520188783110631009991949

%N Number of nX3 array permutations with each element moved and moved by a city block distance of no more than three

%C Column 3 of A188966

%H R. H. Hardin, <a href="/A188964/b188964.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for 4X3

%e ..1..0..5....1..0..5....1..0..7....1..0..5....1..0..7....1..0..7....1..0..5

%e ..4..2.10....7..9..6....8..9..4....2..9.10....4..2.11....2.10..8....9..8..7

%e ..3..8..9...10..2..3....5..2..3...11..8..6....5..3..9....3.11..9...10..3..6

%e ..6.11..7....8.11..4...11..6.10....3..4..7...10..8..6....6..5..4....4.11..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 14 2011