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A299528 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 0, 4, 0, 1, 4, 4, 1, 0, 16, 1, 16, 0, 1, 48, 12, 12, 48, 1, 0, 88, 35, 166, 35, 88, 0, 1, 240, 60, 537, 537, 60, 240, 1, 0, 704, 269, 2573, 7116, 2573, 269, 704, 0, 1, 1600, 873, 16538, 26670, 26670, 16538, 873, 1600, 1, 0, 4032, 1985, 83533, 258389, 278292 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1....4....4.....16.......48........88.........240...........704

.0....4....1.....12.......35........60.........269...........873

.1...16...12....166......537......2573.......16538.........83533

.0...48...35....537.....7116.....26670......258389.......3071901

.1...88...60...2573....26670....278292.....4719927......71687832

.0..240..269..16538...258389...4719927...135080376....3421183432

.1..704..873..83533..3071901..71687832..3421183432..167282094170

.0.1600.1985.420801.19928263.922790506.75654324618.5847633932248

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = a(n-2)

k=2: a(n) = 2*a(n-1) +8*a(n-3) -8*a(n-4) -8*a(n-5)

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

k=4: [order 53] for n>56

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298448.

Sequence in context: A298454 A298834 A299588 * A300146 A100045 A143844

Adjacent sequences:  A299525 A299526 A299527 * A299529 A299530 A299531

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 11 2018

STATUS

approved

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Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)