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A316183 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 30, 30, 8, 16, 112, 134, 112, 16, 32, 420, 601, 601, 420, 32, 64, 1576, 2665, 3653, 2665, 1576, 64, 128, 5912, 11915, 21825, 21825, 11915, 5912, 128, 256, 22176, 53134, 134426, 168051, 134426, 53134, 22176, 256, 512, 83184, 237241 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1.....2.......4........8........16..........32...........64............128

...2.....8......30......112.......420........1576.........5912..........22176

...4....30.....134......601......2665.......11915........53134.........237241

...8...112.....601.....3653.....21825......134426.......822258........5056910

..16...420....2665....21825....168051.....1361115.....11056918.......90607484

..32..1576...11915...134426...1361115....14569771....157538845.....1721566496

..64..5912...53134...822258..11056918...157538845...2280994876....33428704605

.128.22176..237241..5056910..90607484..1721566496..33428704605...658322110177

.256.83184.1058821.31069974.744476711.18934361346.494144449793.13102040590991

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..240

FORMULA

Empirical for column k:

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

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

k=3: [order 11] for n>12

k=4: [order 30] for n>34

k=5: [order 74] for n>79

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A281949.

Sequence in context: A302808 A303469 A281955 * A305769 A317118 A305530

Adjacent sequences:  A316180 A316181 A316182 * A316184 A316185 A316186

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 25 2018

STATUS

approved

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Last modified September 16 18:26 EDT 2021. Contains 347473 sequences. (Running on oeis4.)