

A263764


T(n,k)=Number of length n arrays of permutations of 0..n1 with each element moved by k to k places and exactly one more element moved upwards than downwards


7



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

1,14


COMMENTS

Table starts
.0...0....0.....0.....0......0......0......0......0......0......0......0......0
.0...0....0.....0.....0......0......0......0......0......0......0......0......0
.0...1....1.....1.....1......1......1......1......1......1......1......1......1
.0...2....4.....4.....4......4......4......4......4......4......4......4......4
.0...6...19....31....31.....31.....31.....31.....31.....31.....31.....31.....31
.0..14...50...106...146....146....146....146....146....146....146....146....146
.0..38..165...485...961...1289...1289...1289...1289...1289...1289...1289...1289
.0..88..476..1546..3662...6152...7736...7736...7736...7736...7736...7736...7736
.0.217.1543..6083.18444..41747..68811..85831..85831..85831..85831..85831..85831
.0.506.4544.21020.69848.181272.354568.533302.641302.641302.641302.641302.641302


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..424


EXAMPLE

Some solutions for n=7 k=4
..1....4....0....1....0....0....3....3....4....0....4....3....2....0....3....0
..2....0....1....5....4....5....4....0....2....4....5....0....0....1....5....4
..0....1....6....0....1....1....1....6....1....2....0....6....4....2....0....6
..6....6....4....6....3....3....2....2....0....1....6....1....6....6....1....3
..3....5....3....2....2....2....0....5....3....3....1....5....3....4....2....1
..4....3....2....4....5....6....5....1....5....5....2....4....1....3....6....2
..5....2....5....3....6....4....6....4....6....6....3....2....5....5....4....5


CROSSREFS

Diagonal is A179562.
Sequence in context: A187080 A301342 A226369 * A070202 A280129 A227344
Adjacent sequences: A263761 A263762 A263763 * A263765 A263766 A263767


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin, Oct 25 2015


STATUS

approved



