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A260609 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101 9

%I

%S 40,58,58,125,118,125,241,250,250,241,525,532,610,532,525,1029,1136,

%T 1334,1334,1136,1029,2246,2480,3343,3388,3343,2480,2246,4407,5418,

%U 7516,8736,8736,7516,5418,4407,9592,11776,19069,22944,26148,22944,19069,11776,9592

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101

%C Table starts

%C ....40....58....125.....241.....525.....1029......2246......4407.......9592

%C ....58...118....250.....532....1136.....2480......5418.....11776......25694

%C ...125...250....610....1334....3343.....7516.....19069.....42696.....108592

%C ...241...532...1334....3388....8736....22944.....59758....156228.....410004

%C ...525..1136...3343....8736...26148....70906....217376....587980....1803868

%C ..1029..2480...7516...22944...70906...228678....727342...2311370....7375562

%C ..2246..5418..19069...59758..217376...727342...2707758...8855024...33286034

%C ..4407.11776..42696..156228..587980..2311370...8855024..34290074..133565560

%C ..9592.25694.108592..410004.1803868..7375562..33286034.133565560..611554908

%C .18930.56138.244492.1074706.4887108.23635422.110210856.519018772.2461954176

%H R. H. Hardin, <a href="/A260609/b260609.txt">Table of n, a(n) for n = 1..511</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 12] for n>13

%F k=2: [order 13] for n>14

%F k=3: [order 24] for n>29

%F k=4: [order 37] for n>40

%F k=5: [order 72] for n>75

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jul 29 2015

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Last modified September 21 00:14 EDT 2021. Contains 347596 sequences. (Running on oeis4.)