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

1,5

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

Links

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

Formula

Empirical for column k:

k=1: [polynomial of degree 8]

k=2: [polynomial of degree 24]

k=3: [polynomial of degree 70]

Example

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

Crossrefs

Column 1 is A005716(n+1).

Sequence in context: A010236 A058018 A037283 * A306507 A094709 A236231

Adjacent sequences: A278631 A278632 A278633 * A278635 A278636 A278637

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 24 2016

Status

approved