A278372 T(n,k)=Number of nXk 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

0, 0, 0, 0, 0, 0, 0, 59, 59, 0, 6, 1465, 3766, 1465, 6, 77, 19047, 184341, 184341, 19047, 77, 504, 194726, 5897660, 16073852, 5897660, 194726, 504, 2304, 1734714, 138641633, 1185617520, 1185617520, 138641633, 1734714, 2304, 8350, 13506810

Offset

1,8

Comments

Table starts

.....0.........0..............0..................0......................6

.....0.........0.............59...............1465..................19047

.....0........59...........3766.............184341................5897660

.....0......1465.........184341...........16073852.............1185617520

.....6.....19047........5897660.........1185617520...........202543496074

....77....194726......138641633........71569971497.........30875729085512

...504...1734714.....2705568336......3591161445506.......4136952690048454

..2304..13506810....46817185633....156509651392363.....487193123130350097

..8350..91496261...733865213852...6152096549069001...51331437862178906035

.25653.543067118.10436129552575.222794729697445622.4945011895747787547937

Links

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

Formula

Empirical for column k:

k=1: [polynomial of degree 11]

k=2: [polynomial of degree 35]

k=3: [polynomial of degree 107]

Example

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

Crossrefs

Sequence in context: A122252 A119945 A054379 * A273183 A292093 A104916

Adjacent sequences: A278369 A278370 A278371 * A278373 A278374 A278375

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 19 2016

Status

approved