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.

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

R. H. Hardin, Table of n, a(n) for n = 1..111

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

Adjacent sequences: A278731 A278732 A278733 * A278735 A278736 A278737

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 27 2016

Status

approved