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A279168 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
0, 1, 1, 0, 0, 0, 3, 0, 0, 3, 3, 8, 16, 8, 3, 9, 24, 117, 117, 24, 9, 15, 88, 483, 864, 483, 88, 15, 31, 284, 2001, 5628, 5628, 2001, 284, 31, 57, 772, 7709, 34764, 57248, 34764, 7709, 772, 57, 108, 2000, 28139, 203226, 557163, 557163, 203226, 28139, 2000, 108, 199 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...0....1......0........3..........3............9.............15

...1....0......0........8.........24...........88............284

...0....0.....16......117........483.........2001...........7709

...3....8....117......864.......5628........34764.........203226

...3...24....483.....5628......57248.......557163........5159514

...9...88...2001....34764.....557163......8426362......121098448

..15..284...7709...203226....5159514....121098448.....2708250146

..31..772..28139..1143396...45915548...1686053298....58954576326

..57.2000..99519..6219491..396958758..22825771952..1248383818884

.108.5008.343156.33013384.3354431037.302051174586.25842455526113

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6)

k=2: [order 11]

k=3: [order 33] for n>36

k=4: [order 84] for n>88

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A105423(n-2).

Sequence in context: A267794 A282499 A216194 * A111787 A200524 A308223

Adjacent sequences:  A279165 A279166 A279167 * A279169 A279170 A279171

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 07 2016

STATUS

approved

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Last modified December 3 18:19 EST 2021. Contains 349467 sequences. (Running on oeis4.)