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A298259 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. 7
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, 86, 72, 14, 65, 0, 0, 123, 35, 201, 238, 238, 201, 35, 123, 0, 0, 266, 89, 597, 604, 895, 604, 597, 89, 266, 0, 0, 499, 242, 1705, 2492, 3335, 3335, 2492 (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.....1705......5141.....15305

.0..11..3...23...86...238....604....2492.....7722.....26880.....93816

.0..13..7...72..238...895...3335...13980....55889....230402....953813

.0..34.14..201..604..3335..13991...70095...331341...1644480...8037526

.0..65.35..597.2492.13980..70095..435534..2412035..14299708..83146969

.0.123.89.1705.7722.55889.331341.2412035.16014301.112395697.777907073

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 53] for n>54

EXAMPLE

Some solutions for n=7 k=4

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

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

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

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

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

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

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

CROSSREFS

Column 2 is A297870.

Sequence in context: A297876 A298139 A298087 * A298930 A298895 A179311

Adjacent sequences:  A298256 A298257 A298258 * A298260 A298261 A298262

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

approved

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Last modified August 5 08:44 EDT 2021. Contains 346464 sequences. (Running on oeis4.)