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A280217 T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 6
0, 1, 1, 0, 2, 0, 6, 26, 26, 6, 6, 92, 158, 92, 6, 30, 307, 886, 886, 307, 30, 54, 1072, 4382, 7048, 4382, 1072, 54, 158, 3541, 20593, 49328, 49328, 20593, 3541, 158, 342, 11834, 93326, 320755, 474433, 320755, 93326, 11834, 342, 846, 38687, 410789, 2001079 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

...1......2......26........92........307.......1072.......3541......11834

...0.....26.....158.......886.......4382......20593......93326.....410789

...6.....92.....886......7048......49328.....320755....2001079...12072893

...6....307....4382.....49328.....474433....4245153...36290440..298709773

..30...1072...20593....320755....4245153...51995541..607401930.6826834071

..54...3541...93326...2001079...36290440..607401930.9673911703

.158..11834..410789..12072893..298709773.6826834071

.342..38687.1768582..71202942.2400798535

.846.125380.7492763.412532945

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 10] for n>14

k=3: [order 21] for n>28

k=4: [order 42] for n>51

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A279865.

Sequence in context: A247443 A171734 A278746 * A079203 A151751 A196354

Adjacent sequences:  A280214 A280215 A280216 * A280218 A280219 A280220

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2016

STATUS

approved

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Last modified November 25 14:33 EST 2020. Contains 338624 sequences. (Running on oeis4.)