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Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and equal numbers of elements moved upwards and downwards
1

%I #4 Oct 25 2015 10:29:07

%S 1,2,4,14,46,282,1394,10090,44914,266476,1144246,6123066,27514165,

%T 148657877,712133826,3868859444,19001179140,101945373036,505520499480,

%U 2672357669178,13361279040764,70132283967884,354087976208204

%N Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and equal numbers of elements moved upwards and downwards

%C Column 6 of A263744

%H R. H. Hardin, <a href="/A263742/b263742.txt">Table of n, a(n) for n = 1..96</a>

%e Some solutions for n=7

%e ..4....5....3....3....5....5....4....5....0....4....1....0....5....3....4....0

%e ..0....1....0....0....3....2....6....2....3....1....0....6....4....4....1....4

%e ..5....6....6....5....0....1....2....0....6....5....2....5....3....0....2....6

%e ..3....4....5....4....2....4....5....4....2....6....5....4....1....6....3....1

%e ..6....0....4....2....4....3....3....1....5....0....6....1....0....1....0....5

%e ..1....2....1....1....6....0....0....3....1....2....3....3....2....5....6....3

%e ..2....3....2....6....1....6....1....6....4....3....4....2....6....2....5....2

%Y Cf. A263744

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 25 2015