A278610 T(n,k)=Number of nXk 0..3 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

0, 0, 0, 0, 0, 0, 1, 395, 395, 1, 56, 16224, 53360, 16224, 56, 728, 354696, 5985658, 5985658, 354696, 728, 5328, 6208804, 442089480, 1608427228, 442089480, 6208804, 5328, 27876, 94510277, 23974522382, 371601597959, 371601597959, 23974522382

Offset

1,8

Comments

Table starts

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

.....0..........0............395...............16224..................354696

.....0........395..........53360.............5985658...............442089480

.....1......16224........5985658..........1608427228............371601597959

....56.....354696......442089480........371601597959.........267157122056196

...728....6208804....23974522382......70116431548595......170796560376996116

..5328...94510277..1079873605870...10962535851392548....95557122165321489360

.27876.1235465691.43032494710944.1484609498751465944.46856747385448318164254

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: [polynomial of degree 15]

k=2: [polynomial of degree 63]

Example

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

Crossrefs

Sequence in context: A270843 A267965 A268030 * A278605 A278269 A278606

Adjacent sequences: A278607 A278608 A278609 * A278611 A278612 A278613

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 23 2016

Status

approved