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A304263 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 8
0, 0, 0, 0, 3, 0, 0, 4, 4, 0, 0, 9, 8, 9, 0, 0, 18, 13, 13, 18, 0, 0, 33, 17, 19, 17, 33, 0, 0, 72, 26, 47, 47, 26, 72, 0, 0, 133, 61, 88, 116, 88, 61, 133, 0, 0, 278, 120, 181, 230, 230, 181, 120, 278, 0, 0, 541, 233, 376, 772, 925, 772, 376, 233, 541, 0, 0, 1084, 515, 878, 1832 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0...0...0...0....0.....0......0......0.......0........0.........0.........0

.0...3...4...9...18....33.....72....133.....278......541......1084......2169

.0...4...8..13...17....26.....61....120.....233......515.......959......2203

.0...9..13..19...47....88....181....376.....878.....2001......4424.....10341

.0..18..17..47..116...230....772...1832....5500....15852.....43779....127396

.0..33..26..88..230...925...2516...8248...27317....89074....287896....945232

.0..72..61.181..772..2516..10024..35769..143364...546403...2127606...8299219

.0.133.120.376.1832..8248..35769.185874..883660..4100466..20201440..96805441

.0.278.233.878.5500.27317.143364.883660.4991758.27273238.158873103.901602511

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) = 2*a(n-1) +3*a(n-2) -4*a(n-3) -6*a(n-4) +4*a(n-5) for n>6

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

k=4: [order 63] for n>64

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A288654 A259191 A240455 * A305223 A316801 A143044

Adjacent sequences:  A304260 A304261 A304262 * A304264 A304265 A304266

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 09 2018

STATUS

approved

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Last modified December 5 15:06 EST 2021. Contains 349557 sequences. (Running on oeis4.)