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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.
7
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 25 2016
STATUS
approved