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A281080 T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 8
0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 24, 55, 24, 0, 0, 92, 244, 244, 92, 0, 0, 318, 894, 958, 894, 318, 0, 0, 1056, 2948, 3330, 3330, 2948, 1056, 0, 0, 3406, 9188, 10474, 10954, 10474, 9188, 3406, 0, 0, 10770, 27580, 30808, 32244, 32244, 30808, 27580, 10770, 0, 0, 33542 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

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

.0.....0......6.....24......92.....318....1056.....3406....10770....33542

.0.....6.....55....244.....894....2948....9188....27580....80579...230740

.0....24....244....958....3330...10474...30808....86860...237624...636256

.0....92....894...3330...10954...32244...89147...236332...609693..1542674

.0...318...2948..10474...32244...89042..231146...578810..1415986..3412832

.0..1056...9188..30808...89147..231146..566178..1343304..3132736..7230554

.0..3406..27580..86860..236332..578810.1343304..3035844..6776640.15052898

.0.10770..80579.237624..609693.1415986.3132736..6776640.14551996.31239986

.0.33542.230740.636256.1542674.3412832.7230554.15052898.31239986.65113158

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..363

FORMULA

Empirical for column k:

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

k=2: [order 12]

k=3: [order 12] for n>16

k=4: [order 19] for n>25

k=5: [order 25] for n>32

k=6: [order 29] for n>37

k=7: [order 33] for n>42

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A006806 A002892 A055667 * A283347 A334710 A283203

Adjacent sequences:  A281077 A281078 A281079 * A281081 A281082 A281083

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 14 2017

STATUS

approved

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Last modified January 22 10:13 EST 2022. Contains 350481 sequences. (Running on oeis4.)