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A278365 Number of n X 1 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes. 2
0, 0, 0, 0, 6, 77, 504, 2304, 8350, 25653, 69576, 171106, 388752, 827190, 1665456, 3198312, 5895396, 10483934, 18062160, 30252180, 49402850, 78855339, 123286440, 189147400, 285219090, 423307755, 619109400, 893275110, 1272714300, 1792178076 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Column 1 of A278372.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = (1/39916800)*n^11 + (1/604800)*n^10 + (17/725760)*n^9 - (1/10080)*n^8 - (227/172800)*n^7 + (193/28800)*n^6 - (1273/725760)*n^5 - (1909/60480)*n^4 + (31169/907200)*n^3 + (629/25200)*n^2 - (31/990)*n.

Empirical g.f.: x^5*(2 - x)*(3 - 2*x)*(1 + 2*x - 2*x^2) / (1 - x)^12. - Colin Barker, Mar 22 2018

EXAMPLE

Some solutions for n=8:

..0. .2. .2. .1. .1. .0. .2. .2. .2. .2. .2. .0. .2. .2. .2. .2

..2. .0. .2. .0. .2. .2. .0. .0. .0. .0. .2. .1. .2. .0. .1. .0

..1. .0. .2. .2. .1. .1. .1. .1. .2. .1. .2. .0. .1. .0. .0. .2

..2. .1. .1. .0. .0. .0. .2. .0. .0. .0. .1. .2. .2. .1. .1. .2

..0. .0. .0. .2. .2. .2. .0. .1. .1. .1. .0. .0. .0. .0. .2. .1

..0. .2. .2. .1. .0. .0. .1. .1. .0. .2. .1. .2. .2. .1. .2. .1

..2. .1. .0. .2. .2. .0. .0. .0. .0. .2. .1. .1. .1. .1. .0. .0

..0. .1. .2. .2. .2. .1. .1. .1. .2. .0. .0. .2. .2. .0. .0. .2

CROSSREFS

Cf. A278372.

Sequence in context: A274464 A028979 A082629 * A154642 A282783 A215551

Adjacent sequences:  A278362 A278363 A278364 * A278366 A278367 A278368

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2016

STATUS

approved

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Last modified September 25 20:01 EDT 2021. Contains 347659 sequences. (Running on oeis4.)