A260070 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111

48, 91, 91, 256, 214, 256, 557, 594, 594, 557, 956, 1214, 1680, 1214, 956, 2131, 2367, 3825, 3825, 2367, 2131, 5088, 5776, 6714, 7725, 6714, 5776, 5088, 10235, 13366, 16344, 12664, 12664, 16344, 13366, 10235, 20242, 28064, 42094, 34917, 25444, 34917

Offset

1,1

Comments

Table starts

....48.....91....256....557.....956.....2131.....5088....10235.....20242

....91....214....594...1214....2367.....5776....13366....28064.....63014

...256....594...1680...3825....6714....16344....42094....84761....173654

...557...1214...3825...7725...12664....34917....89948...166473....353678

...956...2367...6714..12664...25444....77061...185370...361576....898184

..2131...5776..16344..34917...77061...251582...660896..1470739...4080236

..5088..13366..42094..89948..185370...660896..1838884..3846432..10411860

.10235..28064..84761.166473..361576..1470739..3846432..7478945..22555298

.20242..63014.173654.353678..898184..4080236.10411860.22555298..76589120

.45355.147105.438404.964837.2496222.12463280.34278032.79843532.296873856

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) +4*a(n-3) +5*a(n-4) -5*a(n-5) -2*a(n-6)

k=2: [order 11]

k=3: [order 17] for n>21

k=4: [order 21] for n>25

k=5: [order 39] for n>43

k=6: [order 69] for n>75

Example

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

Crossrefs

Sequence in context: A247720 A204647 A260980 * A260973 A260063 A211723

Adjacent sequences: A260067 A260068 A260069 * A260071 A260072 A260073

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 14 2015

Status

approved