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

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

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