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A279534 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 5
0, 1, 1, 0, 0, 0, 3, 15, 15, 3, 6, 222, 668, 222, 6, 24, 2348, 21430, 21430, 2348, 24, 72, 21302, 539596, 1585524, 539596, 21302, 72, 232, 176125, 12335295, 102868091, 102868091, 12335295, 176125, 232, 720, 1370378, 263171408, 6167352480 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

....0........1............0..............3...............6...............24

....1........0...........15............222............2348............21302

....0.......15..........668..........21430..........539596.........12335295

....3......222........21430........1585524.......102868091.......6167352480

....6.....2348.......539596......102868091.....17596660798....2810209481878

...24....21302.....12335295.....6167352480...2810209481878.1203474431523240

...72...176125....263171408...349780411336.427316604639150

..232..1370378...5359546513.19062177795838

..720.10206549.105415261452

.2232.73563740

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -6*a(n-2) -16*a(n-3) +12*a(n-4) +24*a(n-5) +8*a(n-6) for n>8

k=2: [order 12] for n>13

k=3: [order 33] for n>35

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A279300.

Sequence in context: A280201 A296842 A279925 * A181404 A096672 A344565

Adjacent sequences:  A279531 A279532 A279533 * A279535 A279536 A279537

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 14 2016

STATUS

approved

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Last modified July 29 05:20 EDT 2021. Contains 346340 sequences. (Running on oeis4.)