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A298139 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 6
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 2, 0, 2, 0, 0, 11, 3, 3, 11, 0, 0, 13, 0, 10, 0, 13, 0, 0, 34, 3, 20, 20, 3, 34, 0, 0, 65, 6, 68, 88, 68, 6, 65, 0, 0, 123, 23, 185, 242, 242, 185, 23, 123, 0, 0, 266, 68, 561, 627, 917, 627, 561, 68, 266, 0, 0, 499, 205, 1600, 2604, 3417, 3417, 2604 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0...0..0....0....0.....0......0.......0........0.........0.........0

.0...1..3....2...11....13.....34......65......123.......266.......499

.0...3..0....3....0.....3......6......23.......68.......205.......572

.0...2..3...10...20....68....185.....561.....1600......4856.....14490

.0..11..0...20...88...242....627....2604.....8137.....28727....101137

.0..13..3...68..242...917...3417...14533....58845....244155...1024766

.0..34..6..185..627..3417..14422...73961...354200...1772595...8807624

.0..65.23..561.2604.14533..73961..467043..2633905..15796516..93682029

.0.123.68.1600.8137.58845.354200.2633905.17828062.127068717.899366629

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

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

k=3: [order 17] for n>18

k=4: [order 60] for n>61

EXAMPLE

Some solutions for n=7 k=4

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

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

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

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

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

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

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

CROSSREFS

Column 2 is A297870.

Column 3 is A297871.

Sequence in context: A287784 A325010 A297876 * A298087 A298259 A298930

Adjacent sequences:  A298136 A298137 A298138 * A298140 A298141 A298142

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 13 2018

STATUS

approved

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Last modified July 30 04:51 EDT 2021. Contains 346348 sequences. (Running on oeis4.)