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A260980 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101 9

%I

%S 48,91,91,204,133,204,483,239,239,483,1146,481,372,481,1146,2755,925,

%T 732,732,925,2755,6526,1873,1288,1513,1288,1873,6526,15419,3683,2576,

%U 2714,2714,2576,3683,15419,36518,7321,4688,5506,4592,5506,4688,7321,36518

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101

%C Table starts

%C ....48....91...204...483...1146...2755...6526..15419..36518...86831..206258

%C ....91...133...239...481....925...1873...3683...7321..14439...28529...56363

%C ...204...239...372...732...1288...2576...4688...8760..15964...30062...55496

%C ...483...481...732..1513...2714...5506...9728..18578..33658...66832..122644

%C ..1146...925..1288..2714...4592...9144..14672..29768..50432..101372..171124

%C ..2755..1873..2576..5506...9144..18706..30418..62878.107802..218342..372200

%C ..6526..3683..4688..9728..14672..30418..45504..95248.145748..298612..459656

%C .15419..7321..8760.18578..29768..62878..95248.195280.303930..632432.1010202

%C .36518.14439.15964.33658..50432.107802.145748.303930.441072..950478.1351340

%C .86831.28529.30062.66832.101372.218342.298612.632432.950478.2093846.3098000

%H R. H. Hardin, <a href="/A260980/b260980.txt">Table of n, a(n) for n = 1..923</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 8] for n>9

%F k=2: [order 11] for n>14

%F k=3: [order 14] for n>18

%F k=4: [order 19] for n>26

%F k=5: [order 28] for n>34

%F k=6: [order 45] for n>51

%F k=7: [order 53] for n>63

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Aug 06 2015

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Last modified October 21 06:58 EDT 2021. Contains 348145 sequences. (Running on oeis4.)