A260207 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001

26, 44, 44, 106, 80, 106, 220, 207, 207, 220, 478, 479, 685, 479, 478, 1044, 1163, 1857, 1857, 1163, 1044, 2274, 2864, 5291, 5998, 5291, 2864, 2274, 4940, 6895, 15715, 20408, 20408, 15715, 6895, 4940, 10758, 16690, 45181, 71846, 85168, 71846, 45181, 16690

Offset

1,1

Comments

Table starts

....26....44.....106.....220.......478.......1044........2274.........4940

....44....80.....207.....479......1163.......2864........6895........16690

...106...207.....685....1857......5291......15715.......45181.......129853

...220...479....1857....5998.....20408......71846......245486.......841296

...478..1163....5291...20408.....85168.....359112.....1473681......6100163

..1044..2864...15715...71846....359112....1819901.....8929505.....44267361

..2274..6895...45181..245486...1473681....8929505....52387329....310875809

..4940.16690..129853..841296...6100163...44267361...310875809...2215046304

.10758.40598..377479.2905978..25364416..220591626..1853180549..15831679529

.23412.98367.1091843.9992478.104948864.1093197469.10985801208.112499752565

Links

R. H. Hardin, Table of n, a(n) for n = 1..612

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-4) -2*a(n-5) for n>7

k=2: a(n) = a(n-1) +a(n-2) +5*a(n-3) +2*a(n-4) +a(n-5) -a(n-7) -a(n-8) for n>9

k=3: [order 11] for n>12

k=4: [order 18] for n>19

k=5: [order 32] for n>34

k=6: [order 45] for n>46

k=7: [order 80] for n>83

Example

Some solutions for n=4 k=4
..1..0..0..1..0..0....0..1..0..0..1..0....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..0..0..0..0....0..0..0..0..1..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..1..0..0....0..0..0..0..0..0....1..0..0..0..0..1
..0..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..1..0....1..0..0..0..0..0....0..0..0..0..1..0....0..0..0..1..0..0

Crossrefs

Sequence in context: A138727 A248404 A280645 * A130771 A217775 A260200

Adjacent sequences: A260204 A260205 A260206 * A260208 A260209 A260210

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 19 2015

Status

approved