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%I #4 Mar 31 2012 12:36:20
%S 0,0,0,1,436,105876,27361381,8448460856,3162324496414
%N Number of permutations of 3 copies of 1..n introduced in order 1..n with no element equal to another within a distance of 3
%e Some solutions for n=5
%e ..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
%e ..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2
%e ..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3
%e ..4....4....4....4....4....4....4....4....4....4....4....4....4....4....4....4
%e ..5....1....5....5....1....1....5....5....5....5....1....5....5....5....5....5
%e ..2....5....2....1....5....2....1....1....1....2....5....1....2....2....2....1
%e ..1....3....3....2....2....5....2....3....2....3....3....3....3....3....1....3
%e ..4....2....4....3....4....4....4....2....3....1....4....2....4....4....4....2
%e ..5....4....1....4....3....3....5....5....5....5....2....4....5....1....5....5
%e ..3....5....5....5....5....1....1....4....4....4....1....1....2....5....3....1
%e ..1....3....3....2....2....5....3....3....1....3....5....5....1....2....2....4
%e ..2....2....4....3....1....4....2....1....2....1....3....2....3....3....4....2
%e ..4....1....2....1....4....3....5....5....5....5....2....4....4....1....1....3
%e ..3....5....5....5....3....2....4....2....4....4....4....3....5....5....3....5
%e ..5....4....1....4....5....5....3....4....3....2....5....5....1....4....5....4
%K nonn
%O 1,5
%A _R. H. Hardin_ May 21 2011