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Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and the total absolute value of displacements not greater than n.
1

%I #4 Oct 30 2015 08:01:59

%S 1,2,3,11,17,70,108,483,739,3426,5216,24476,37233,176887,268945,

%T 1289725,1960265,9470869,14390851,69941272,106252224,518879732,

%U 788139368,3864186695,5868707734,28870387411,43842625518,216296687601,328444289911

%N Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and the total absolute value of displacements not greater than n.

%C Column 5 of A263939.

%H R. H. Hardin, <a href="/A263936/b263936.txt">Table of n, a(n) for n = 1..177</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A263939.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 30 2015