A278634 T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

0, 0, 0, 1, 13, 1, 15, 285, 285, 15, 90, 3354, 10824, 3354, 90, 357, 27521, 234484, 234484, 27521, 357, 1107, 175881, 3739008, 10776210, 3739008, 175881, 1107, 2907, 932205, 48592635, 387551595, 387551595, 48592635, 932205, 2907, 6765, 4266912

Offset: 1

Author

R. H. Hardin, Nov 24 2016

Keywords

• nonn
• tabl

Comments

Table starts

....0.......0..........1............15................90..................357

....0......13........285..........3354.............27521...............175881

....1.....285......10824........234484...........3739008.............48592635

...15....3354.....234484......10776210.........387551595..........11719632199

...90...27521....3739008.....387551595.......33967584488........2593097277036

..357..175881...48592635...11719632199.....2593097277036......521528860552802

.1107..932205..541463431..309971214338...175644502146694....94782697883923436

.2907.4266912.5325263364.7350438329498.10734760074025367.15624069731088285787

Examples

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

Links

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

Crossrefs

Column 1 is A005716(n+1).

Formula

Empirical for column k:

k=1: [polynomial of degree 8]

k=2: [polynomial of degree 24]

k=3: [polynomial of degree 70]