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A281563
T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
14
0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 18, 68, 6, 0, 0, 141, 621, 815, 57, 0, 0, 602, 2426, 3374, 4172, 310, 0, 0, 2180, 6955, 12133, 15508, 18020, 1508, 0, 0, 7006, 16656, 31300, 50510, 53568, 62882, 6854, 0, 0, 20979, 36578, 67834, 119319, 154722, 162919, 201551
OFFSET
1,8
COMMENTS
Table starts
.0......0.......0.......0.......0........0........0........0........0.........0
.0......0.......5......18.....141......602.....2180.....7006....20979.....59698
.0......1......68.....621....2426.....6955....16656....36578....76332....153813
.0......6.....815....3374...12133....31300....67834...136056...264286....498750
.0.....57....4172...15508...50510...119319...243040...458646...836348...1499031
.0....310...18020...53568..154722...347316...692421..1275888..2241388...3864672
.0...1508...62882..162919..430995...919632..1818257..3326246..5744641...9601436
.0...6854..201551..463916.1166392..2383814..4578736..8300608.14212419..23352928
.0..29487..605398.1262057.3018274..5976640.11105124.19678234.33449458..54649755
.0.122326.1743548.3344312.7606230.14598286.26461889.45643798.76274137.124061416
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 12]
k=3: [order 21] for n>29
k=4: [order 24] for n>34
k=5: [order 29] for n>46
k=6: [order 32] for n>52
k=7: [order 35] for n>58
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: [order 14] for n>15
n=3: [order 12] for n>20
n=4: [order 15] for n>24
n=5: [order 18] for n>28
n=6: [order 21] for n>37
n=7: [order 24] for n>46
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..0. .0..0..1..0. .0..1..0..1. .0..0..1..1. .0..1..1..0
..0..1..0..1. .0..1..1..0. .1..0..1..0. .0..1..1..0. .1..0..1..0
..1..0..1..1. .1..0..0..0. .1..0..1..1. .0..0..0..1. .1..1..1..0
..1..0..0..1. .1..0..1..0. .1..0..0..0. .0..1..0..1. .1..0..1..0
CROSSREFS
Sequence in context: A204170 A283784 A361353 * A293087 A209349 A242095
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 24 2017
STATUS
approved