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A278385 T(n,k)=Number of nXk 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes. 8
0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 40, 74, 40, 0, 1, 267, 1220, 1220, 267, 1, 8, 1350, 12910, 23640, 12910, 1350, 8, 36, 5936, 100807, 368421, 368421, 100807, 5936, 36, 120, 23565, 652343, 4703562, 8632118, 4703562, 652343, 23565, 120, 330, 84912, 3750182 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

...0......0........0...........0..............0................1

...0......0........3..........40............267.............1350

...0......3.......74........1220..........12910...........100807

...0.....40.....1220.......23640.........368421..........4703562

...0....267....12910......368421........8632118........179716850

...1...1350...100807.....4703562......179716850.......6204309386

...8...5936...652343....50473056.....3325788157.....198563803019

..36..23565..3750182...474255829....54735436424....5851197688577

.120..84912.19784428..4047341159...813247916326..157794170262819

.330.278422.96786947.32112086692.11132424779200.3912513274701995

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

k=1: [polynomial of degree 7]

k=2: [polynomial of degree 15]

k=3: [polynomial of degree 31]

k=4: [polynomial of degree 63]

k=5: [polynomial of degree 127]

EXAMPLE

Some solutions for n=4 k=4

..0..1..1..0. .0..1..1..0. .1..0..1..0. .0..0..0..1. .0..0..0..0

..0..1..0..0. .0..1..1..1. .1..0..0..0. .1..1..1..1. .0..1..0..0

..1..0..0..1. .1..1..0..0. .1..0..1..0. .1..1..0..1. .1..1..1..0

..1..0..1..1. .0..0..1..0. .1..1..1..0. .0..1..1..1. .1..1..0..1

CROSSREFS

Column 1 is A000580(n+1).

Sequence in context: A199237 A280810 A283386 * A245626 A233320 A163535

Adjacent sequences:  A278382 A278383 A278384 * A278386 A278387 A278388

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 20 2016

STATUS

approved

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Last modified February 24 12:59 EST 2018. Contains 299623 sequences. (Running on oeis4.)