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A278372
T(n,k)=Number of nXk 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.
8
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 19 2016
STATUS
approved