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A279871 T(n,k)=Number of nXk 0..2 arrays with no element unequal 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. 7
0, 1, 1, 0, 4, 0, 6, 33, 33, 6, 6, 96, 176, 96, 6, 30, 255, 824, 824, 255, 30, 54, 610, 3199, 5704, 3199, 610, 54, 158, 1437, 11983, 37289, 37289, 11983, 1437, 158, 342, 3292, 42296, 226118, 389786, 226118, 42296, 3292, 342, 846, 7451, 143968, 1300184 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

...0.....1.......0.........6..........6..........30..........54.........158

...1.....4......33........96........255.........610........1437........3292

...0....33.....176.......824.......3199.......11983.......42296......143968

...6....96.....824......5704......37289......226118.....1300184.....7247300

...6...255....3199.....37289.....389786.....3786373....35086917...313383975

..30...610...11983....226118....3786373....59485548...887774030.12785911872

..54..1437...42296...1300184...35086917...887774030.21336315188

.158..3292..143968...7247300..313383975.12785911872

.342..7451..476675..39307590.2722202345

.846.16662.1543667.208922598

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +3*a(n-2) -11*a(n-3) -6*a(n-4) +12*a(n-5) +8*a(n-6)

k=2: [order 8] for n>9

k=3: [order 12] for n>18

k=4: [order 57] for n>64

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A222889 A223114 A222832 * A223052 A027857 A052400

Adjacent sequences: A279868 A279869 A279870 * A279872 A279873 A279874

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 21 2016

STATUS

approved

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Last modified January 31 13:56 EST 2023. Contains 359971 sequences. (Running on oeis4.)