A278385 - OEIS

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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.

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: A305541 A280810 A283386 * A245626 A307233 A233320

Adjacent sequences: A278382 A278383 A278384 * A278386 A278387 A278388

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 20 2016

STATUS

approved