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A298930 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 6
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 2, 1, 2, 0, 0, 11, 4, 4, 11, 0, 0, 13, 3, 11, 3, 13, 0, 0, 34, 7, 23, 23, 7, 34, 0, 0, 65, 14, 72, 94, 72, 14, 65, 0, 0, 123, 35, 201, 255, 255, 201, 35, 123, 0, 0, 266, 89, 597, 666, 955, 666, 597, 89, 266, 0, 0, 499, 242, 1717, 2720, 3569, 3569, 2720 (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..1....4....3.....7.....14......35.......89.......242.......643

.0...2..4...11...23....72....201.....597.....1717......5183.....15479

.0..11..3...23...94...255....666....2720.....8571.....30093....106192

.0..13..7...72..255...955...3569...15031....61046....253624...1067751

.0..34.14..201..666..3569..15163...77576...375845...1886321...9434661

.0..65.35..597.2720.15031..77576..491338..2806944..16889645.100996053

.0.123.89.1717.8571.61046.375845.2806944.19329083.138482223.988954778

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 18] for n>19

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

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A297870.

Column 3 is A298254.

Sequence in context: A298139 A298087 A298259 * A298895 A179311 A309983

Adjacent sequences:  A298927 A298928 A298929 * A298931 A298932 A298933

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 29 2018

STATUS

approved

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Last modified June 4 06:41 EDT 2020. Contains 334822 sequences. (Running on oeis4.)