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A260001 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101 9
48, 99, 99, 284, 269, 284, 641, 805, 805, 641, 1228, 1819, 2532, 1819, 1228, 2943, 4383, 6157, 6157, 4383, 2943, 7284, 12412, 13562, 12620, 13562, 12412, 7284, 15683, 32525, 39209, 23680, 23680, 39209, 32525, 15683, 34012, 82616, 112570, 74850, 55276 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....48.....99.....284.....641....1228.....2943.....7284.....15683.....34012

....99....269.....805....1819....4383....12412....32525.....82616....222474

...284....805....2532....6157...13562....39209...112570....265595....662116

...641...1819....6157...12620...23680....74850...197804....383548....942638

..1228...4383...13562...23680...55276...190794...450718....964370...2768522

..2943..12412...39209...74850..190794...760397..1890678...4225837..14524157

..7284..32525..112570..197804..450718..1890678..4405472...8894577..30259110

.15683..82616..265595..383548..964370..4225837..8894577..16728076..59550906

.34012.222474..662116..942638.2768522.14524157.30259110..59550906.252106808

.81017.598599.1906817.2727852.8264691.43967830.85219828.186397965.839523185

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..544

FORMULA

Empirical for column k:

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

k=2: [order 14]

k=3: [order 19] for n>22

k=4: [order 26] for n>30

k=5: [order 58] for n>62

k=6: [order 96] for n>102

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A044567 A070258 A260248 * A260241 A259994 A113797

Adjacent sequences:  A259998 A259999 A260000 * A260002 A260003 A260004

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 12 2015

STATUS

approved

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Last modified November 15 21:37 EST 2019. Contains 329168 sequences. (Running on oeis4.)