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A298454 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 8
0, 1, 1, 0, 4, 0, 1, 4, 4, 1, 0, 16, 0, 16, 0, 1, 48, 11, 11, 48, 1, 0, 88, 26, 161, 26, 88, 0, 1, 240, 46, 478, 478, 46, 240, 1, 0, 704, 204, 2459, 5938, 2459, 204, 704, 0, 1, 1600, 696, 15248, 22133, 22133, 15248, 696, 1600, 1, 0, 4032, 1493, 78163, 206239, 255029 (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....0.....11.......26........46.........204...........696

.1...16...11....161......478......2459.......15248.........78163

.0...48...26....478.....5938.....22133......206239.......2539477

.1...88...46...2459....22133....255029.....4095727......62979342

.0..240..204..15248...206239...4095727...112275165....2871621220

.1..704..696..78163..2539477..62979342..2871621220..141892377970

.0.1600.1493.390424.16116493.804773211.62756244756.4903035588074

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

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

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

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

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

CROSSREFS

Sequence in context: A298924 A217476 A298622 * A298834 A299588 A299528

Adjacent sequences:  A298451 A298452 A298453 * A298455 A298456 A298457

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 19 2018

STATUS

approved

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Last modified December 2 20:25 EST 2021. Contains 349445 sequences. (Running on oeis4.)