A278896 T(n,k)=Number of nXk 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

0, 0, 0, 0, 0, 0, 1, 161, 161, 1, 56, 12392, 52424, 12392, 56, 728, 389640, 6888340, 6888340, 389640, 728, 5328, 7709668, 518626568, 2058210408, 518626568, 7709668, 5328, 27876, 112188011, 27351484380, 430110958155, 430110958155, 27351484380

Offset

1,8

Comments

Table starts

.....0..........0..............0...................1......................56

.....0..........0............161...............12392..................389640

.....0........161..........52424.............6888340...............518626568

.....1......12392........6888340..........2058210408............430110958155

....56.....389640......518626568........430110958155.........273949132717772

...728....7709668....27351484380......69420349158080......143827898685401892

..5328..112188011..1123462079180....9164480794983836....64434873104394812016

.27876.1300739542.38208069702548.1029371666008338780.25210227731914720632036

Links

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

Formula

Empirical for column k:

k=1: [polynomial of degree 15]

k=2: [polynomial of degree 60]

Example

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

Crossrefs

Column 1 is A278604.

Sequence in context: A159378 A172074 A171223 * A249397 A025350 A025342

Adjacent sequences: A278893 A278894 A278895 * A278897 A278898 A278899

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2016

Status

approved