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A278734
T(n,k)=Number of nXk 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.
7
0, 6, 6, 40, 152, 40, 155, 1947, 1947, 155, 456, 17352, 58904, 17352, 456, 1128, 121520, 1410818, 1410818, 121520, 1128, 2472, 712406, 28637916, 99992428, 28637916, 712406, 2472, 4950, 3633649, 506031118, 6410559865, 6410559865, 506031118
OFFSET
1,2
COMMENTS
Table starts
.....0.........6.............40.................155......................456
.....6.......152...........1947...............17352...................121520
....40......1947..........58904.............1410818.................28637916
...155.....17352........1410818............99992428...............6410559865
...456....121520.......28637916..........6410559865............1351385130108
..1128....712406......506031118........374757577056..........268284486351027
..2472...3633649.....7907770636......19983433877142........50067074390669892
..4950..16547278...110655824716.....971720519011047......8732216738504713198
..9240..68531079..1401584381570...43159978267689118...1415177080112634284232
.16302.261693631.16222274394016.1757375854436887414.212485358907612452321760
LINKS
FORMULA
Empirical for column k:
k=1: [polynomial of degree 7]
k=2: [polynomial of degree 28]
k=3: [polynomial of degree 109]
EXAMPLE
Some solutions for n=3 k=4
..0..0..2..0. .0..0..3..1. .0..0..2..0. .1..0..2..1. .0..0..2..1
..1..1..1..0. .1..0..1..1. .1..0..1..0. .1..1..2..1. .1..0..1..2
..2..1..2..0. .1..1..3..0. .3..0..1..3. .2..3..0..1. .1..2..2..1
CROSSREFS
Column 1 is A001919(n+1).
Sequence in context: A156099 A278435 A279333 * A279535 A125510 A117859
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 27 2016
STATUS
approved