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

Author

R. H. Hardin, Nov 27 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A001919(n+1).

Formula

Empirical for column k:

k=1: [polynomial of degree 7]

k=2: [polynomial of degree 28]

k=3: [polynomial of degree 109]