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A260248 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001 9

%I

%S 48,99,99,256,213,256,635,551,551,635,1598,1235,1476,1235,1598,4027,

%T 3026,3287,3287,3026,4027,10110,7822,8242,5733,8242,7822,10110,25421,

%U 18837,22944,14045,14045,22944,18837,25421,63884,45114,56634,42143,38280,42143

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001

%C Table starts

%C .....48.....99....256.....635....1598.....4027....10110....25421.....63884

%C .....99....213....551....1235....3026.....7822....18837....45114....113177

%C ....256....551...1476....3287....8242....22944....56634...134576....355620

%C ....635...1235...3287....5733...14045....42143....85491...178543....492457

%C ...1598...3026...8242...14045...38280...122048...238852...523742...1565104

%C ...4027...7822..22944...42143..122048...416911...906498..2164027...6912900

%C ..10110..18837..56634...85491..238852...906498..1606456..3601412..12214696

%C ..25421..45114.134576..178543..523742..2164027..3601412..7479479..27027264

%C ..63884.113177.355620..492457.1565104..6912900.12214696.27027264.103497076

%C .160475.278981.930398.1191315.3971668.19008695.29652462.72093352.300135936

%H R. H. Hardin, <a href="/A260248/b260248.txt">Table of n, a(n) for n = 1..420</a>

%F Empirical for column k:

%F k=1: a(n) = 2*a(n-1) -2*a(n-2) +9*a(n-3) -4*a(n-4) +9*a(n-5) -9*a(n-6) for n>7

%F k=2: [order 14] for n>15

%F k=3: [order 29] for n>30

%F k=4: [order 45] for n>47

%F k=5: [order 86] for n>89

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jul 20 2015

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Last modified October 25 21:15 EDT 2021. Contains 348256 sequences. (Running on oeis4.)