A263764 - OEIS

A263764

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and exactly one more element moved upwards than downwards

%I #4 Oct 25 2015 12:55:36

%S 0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,4,6,0,0,0,1,4,19,14,0,0,0,1,4,31,

%T 50,38,0,0,0,1,4,31,106,165,88,0,0,0,1,4,31,146,485,476,217,0,0,0,1,4,

%U 31,146,961,1546,1543,506,0,0,0,1,4,31,146,1289,3662,6083,4544,1209,0,0,0,1

%N T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and exactly one more element moved upwards than downwards

%C Table starts

%C .0...0....0.....0.....0......0......0......0......0......0......0......0......0

%C .0...1....1.....1.....1......1......1......1......1......1......1......1......1

%C .0...2....4.....4.....4......4......4......4......4......4......4......4......4

%C .0...6...19....31....31.....31.....31.....31.....31.....31.....31.....31.....31

%C .0..14...50...106...146....146....146....146....146....146....146....146....146

%C .0..38..165...485...961...1289...1289...1289...1289...1289...1289...1289...1289

%C .0..88..476..1546..3662...6152...7736...7736...7736...7736...7736...7736...7736

%C .0.217.1543..6083.18444..41747..68811..85831..85831..85831..85831..85831..85831

%C .0.506.4544.21020.69848.181272.354568.533302.641302.641302.641302.641302.641302

%H R. H. Hardin, <a href="/A263764/b263764.txt">Table of n, a(n) for n = 1..424</a>

%e Some solutions for n=7 k=4

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

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

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

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

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

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

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

%Y Diagonal is A179562.

%K nonn,tabl

%O 1,14

%A _R. H. Hardin_, Oct 25 2015