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A283282 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors. 8
2, 4, 4, 8, 15, 8, 16, 50, 50, 16, 32, 176, 287, 176, 32, 64, 614, 1725, 1725, 614, 64, 128, 2141, 10299, 18320, 10299, 2141, 128, 256, 7472, 61491, 191025, 191025, 61491, 7472, 256, 512, 26070, 367208, 1994338, 3455416, 1994338, 367208, 26070, 512, 1024 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

...4....15.......50........176..........614...........2141..............7472

...8....50......287.......1725........10299..........61491............367208

..16...176.....1725......18320.......191025........1994338..........20834848

..32...614....10299.....191025......3455416.......62640737........1136604611

..64..2141....61491....1994338.....62640737.....1974531630.......62300912853

.128..7472...367208...20834848...1136604611....62300912853.....3418770498783

.256.26070..2192810..217606715..20614698223..1964591851309...187461194033545

.512.90964.13094522.2272854285.373922480489.61959879789835.10281169933978992

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

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

k=2: a(n) = 3*a(n-1) +a(n-2) +3*a(n-3) -2*a(n-4) +a(n-5) -2*a(n-6) +a(n-7) -a(n-8)

k=3: [order 12]

k=4: [order 19]

k=5: [order 69]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000079.

Sequence in context: A225982 A282528 A297094 * A181253 A267788 A189696

Adjacent sequences:  A283279 A283280 A283281 * A283283 A283284 A283285

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 04 2017

STATUS

approved

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Last modified July 26 01:49 EDT 2021. Contains 346294 sequences. (Running on oeis4.)