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Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and exactly one more element moved upwards than downwards
1

%I #5 Oct 25 2015 12:51:27

%S 0,0,1,2,6,14,38,88,217,506,1209,2810,6600,15308,35653,82532,191371,

%T 442428,1023499,2364324,5463084,12614628,29131729,67256334,155289747,

%U 358522126,827816037,1911447100,4414086763,10194246046,23546391253

%N Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and exactly one more element moved upwards than downwards

%C Column 2 of A263764

%H R. H. Hardin, <a href="/A263758/b263758.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

%e ..2....3....2....3....3....2....5....5....3....1....2....5....1....3....5....5

%e ..5....6....6....6....5....6....6....3....6....6....6....3....3....6....3....2

%e ..4....4....4....5....4....3....3....4....4....3....4....6....5....4....4....4

%e ..6....5....5....4....6....5....4....6....5....5....5....4....6....5....6....6

%Y Cf. A263764

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 25 2015