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A297094 T(n,k)=Number of nXk 0..1 arrays with no 1 adjacent to 3 king-move neighboring 1s. 8
2, 4, 4, 8, 15, 8, 16, 45, 45, 16, 32, 152, 228, 152, 32, 64, 511, 1256, 1256, 511, 64, 128, 1681, 6859, 11925, 6859, 1681, 128, 256, 5588, 37423, 113084, 113084, 37423, 5588, 256, 512, 18575, 204625, 1060921, 1850693, 1060921, 204625, 18575, 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......45.......152..........511...........1681.............5588

...8....45.....228......1256.........6859..........37423...........204625

..16...152....1256.....11925.......113084........1060921.........10038612

..32...511....6859....113084......1850693.......30151640........497994853

..64..1681...37423...1060921.....30151640......859032804......24929815289

.128..5588..204625..10038612....497994853....24929815289....1280846320436

.256.18575.1118722..95094637...8248067202...728501800356...66546097409172

.512.61621.6116809.900615714.136768286476.21357821717826.3477139838772757

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

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) +3*a(n-3) -14*a(n-4) +4*a(n-5)

k=3: [order 19]

k=4: [order 42]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000079.

Sequence in context: A240364 A225982 A282528 * A283282 A181253 A267788

Adjacent sequences:  A297091 A297092 A297093 * A297095 A297096 A297097

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 25 2017

STATUS

approved

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Last modified July 25 23:39 EDT 2021. Contains 346294 sequences. (Running on oeis4.)