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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 27 21:54 EDT 2021. Contains 348290 sequences. (Running on oeis4.)