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A297020 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 3, 4 or 6 king-move neighboring 1s. 7
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 8, 4, 1, 1, 8, 14, 14, 8, 1, 1, 17, 39, 46, 39, 17, 1, 1, 31, 135, 150, 150, 135, 31, 1, 1, 71, 400, 590, 852, 590, 400, 71, 1, 1, 166, 1310, 2355, 5878, 5878, 2355, 1310, 166, 1, 1, 365, 4481, 9521, 36508, 74534, 36508, 9521, 4481, 365, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1....1.....1.......1.........1..........1............1.............1

.1...2....3.....4.......8........17.........31...........71...........166

.1...3....8....14......39.......135........400.........1310..........4481

.1...4...14....46.....150.......590.......2355.........9521.........39410

.1...8...39...150.....852......5878......36508.......257339.......1897582

.1..17..135...590....5878.....74534.....732736......8605648.....108002628

.1..31..400..2355...36508....732736...11172600....193972861....3611228309

.1..71.1310..9521..257339...8605648..193972861...5380073625..164053152053

.1.166.4481.39410.1897582.108002628.3611228309.164053152053.8482089381228

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

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

k=3: [order 20]

k=4: [order 48]

EXAMPLE

Some solutions for n=6 k=4

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

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

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

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

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

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

CROSSREFS

Column 2 is A296109.

Sequence in context: A202756 A156354 A295205 * A099597 A283113 A123610

Adjacent sequences:  A297017 A297018 A297019 * A297021 A297022 A297023

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 23 2017

STATUS

approved

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Last modified September 21 19:39 EDT 2019. Contains 327279 sequences. (Running on oeis4.)