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A282316 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors. 8
2, 4, 4, 8, 16, 8, 16, 63, 63, 16, 32, 249, 419, 249, 32, 64, 984, 2968, 2968, 984, 64, 128, 3888, 21055, 40024, 21055, 3888, 128, 256, 15363, 148793, 535494, 535494, 148793, 15363, 256, 512, 60705, 1052672, 7114808, 13473987, 7114808, 1052672, 60705, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....2......4.........8...........16..............32................64

....4.....16........63..........249.............984..............3888

....8.....63.......419.........2968...........21055............148793

...16....249......2968........40024..........535494...........7114808

...32....984.....21055.......535494........13473987.........335154112

...64...3888....148793......7114808.......335154112.......15544631618

..128..15363...1052672.....94872444......8386104536......726938227646

..256..60705...7447859...1264480188....209686247202....33959500217027

..512.239868..52689903..16850046438...5240914986790..1585545530659659

.1024.947808.372763688.224565308124.131022200932324.74053519870574822

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

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

k=3: [order 10]

k=4: [order 18]

k=5: [order 57]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000079.

Sequence in context: A283415 A283857 A227442 * A228986 A188910 A189111

Adjacent sequences:  A282313 A282314 A282315 * A282317 A282318 A282319

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 11 2017

STATUS

approved

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Last modified October 20 17:24 EDT 2018. Contains 316392 sequences. (Running on oeis4.)