A278656 T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 6, 1076, 3626, 1076, 6, 77, 19893, 210616, 210616, 19893, 77, 504, 235446, 6920404, 20667190, 6920404, 235446, 504, 2304, 2080575, 159247403, 1386399220, 1386399220, 159247403, 2080575, 2304, 8350, 14836233

Offset

1,8

Comments

Table starts

.....0.........0.............0.................0......................6

.....0.........0............24..............1076..................19893

.....0........24..........3626............210616................6920404

.....0......1076........210616..........20667190.............1386399220

.....6.....19893.......6920404........1386399220...........208991393214

....77....235446.....159247403.......71471902148.........25885621037640

...504...2080575....2864009499.....3014441325194.......2738085955639984

..2304..14836233...42845787540...108332967120296.....253197559557136896

..8350..89504692..554117433244..3414333388975884...20837244744657222577

.25653.471646066.6355099136464.96390462710001643.1548877617380719532356

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

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

Crossrefs

Column 1 is A278365.

Sequence in context: A292102 A022980 A023466 * A308419 A010863 A362116

Adjacent sequences: A278653 A278654 A278655 * A278657 A278658 A278659

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 25 2016

Status

approved