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A299060 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 38, 42, 1, 1, 127, 199, 199, 127, 1, 1, 389, 864, 2096, 864, 389, 1, 1, 1192, 4366, 17930, 17930, 4366, 1192, 1, 1, 3645, 21804, 175031, 295407, 175031, 21804, 3645, 1, 1, 11161, 111861, 1718789, 5558665, 5558665 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1....5.....13.......42........127..........389...........1192.............3645

.1...13.....38......199........864.........4366..........21804...........111861

.1...42....199.....2096......17930.......175031........1718789.........17101477

.1..127....864....17930.....295407......5558665......104819165.......1992248544

.1..389...4366...175031....5558665....199153610.....7165136807.....259511787831

.1.1192..21804..1718789..104819165...7165136807...491688804213...33934925502793

.1.3645.111861.17101477.1992248544.259511787831.33934925502793.4462148033879670

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) +5*a(n-2) +4*a(n-3)

k=3: [order 14] for n>16

k=4: [order 38] for n>39

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298234.

Sequence in context: A299366 A299135 A299893 * A299821 A299721 A300342

Adjacent sequences:  A299057 A299058 A299059 * A299061 A299062 A299063

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 01 2018

STATUS

approved

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Last modified September 30 02:05 EDT 2022. Contains 357095 sequences. (Running on oeis4.)