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A259642 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 or 00000001 9

%I

%S 18,29,29,69,64,69,133,171,171,133,236,365,581,365,236,472,813,1483,

%T 1483,813,472,940,1964,3849,4146,3849,1964,940,1781,4499,11261,12348,

%U 12348,11261,4499,1781,3433,10188,30957,42524,44500,42524,30957,10188,3433

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

%C Table starts

%C ...18....29.....69.....133......236.......472........940........1781

%C ...29....64....171.....365......813......1964.......4499.......10188

%C ...69...171....581....1483.....3849.....11261......30957.......82977

%C ..133...365...1483....4146....12348.....42524.....133078......406770

%C ..236...813...3849...12348....44500....182654.....670088.....2436036

%C ..472..1964..11261...42524...182654....899557....3919925....16946757

%C ..940..4499..30957..133078...670088...3919925...19848497...100074919

%C .1781.10188..82977..406770..2436036..16946757..100074919...593505391

%C .3433.23712.231015.1313046..9361060..77735408..540718241..3793818370

%C .6725.54825.639787.4180198.35240824.348525973.2836175763.23386045739

%H R. H. Hardin, <a href="/A259642/b259642.txt">Table of n, a(n) for n = 1..684</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1) +3*a(n-3) +a(n-4) for n>5

%F k=2: a(n) = a(n-1) +a(n-2) +5*a(n-3) +a(n-4) -3*a(n-5) -3*a(n-6) for n>7

%F k=3: [order 9] for n>10

%F k=4: [order 12] for n>13

%F k=5: [order 24] for n>25

%F k=6: [order 30] for n>32

%F k=7: [order 42] for n>44

%e Some solutions for n=4 k=4

%e ..0..0..0..0..0..0....0..1..0..0..0..1....0..1..0..0..0..1....1..0..0..1..0..0

%e ..0..1..0..0..0..1....0..0..0..0..1..0....0..0..0..0..0..0....0..0..0..0..0..0

%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..1..0..0..0....0..0..0..0..0..0

%e ..0..0..0..0..1..0....1..0..0..0..0..1....0..0..0..0..0..0....0..0..0..1..0..0

%e ..0..0..0..0..0..1....0..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jul 02 2015

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Last modified October 26 10:52 EDT 2020. Contains 338027 sequences. (Running on oeis4.)