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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 2*(n-1).
1

%I #4 Oct 29 2015 07:42:51

%S 1,2,6,20,76,300,1189,4701,18754,75243,303407,1227560,4981002,

%T 20260788,82579632,337175123,1378826528,5646408697,23151632776,

%U 95034718893,390504864746,1606102645910,6611314522432,27235758104621,112279739875866

%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 2*(n-1).

%C Column 5 of A263905.

%H R. H. Hardin, <a href="/A263902/b263902.txt">Table of n, a(n) for n = 1..122</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A263905.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 29 2015