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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. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)