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A260544 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001 9

%I

%S 40,75,75,193,131,193,337,310,310,337,582,566,774,566,582,1350,976,

%T 1411,1411,976,1350,2732,2229,2226,2775,2226,2229,2732,5037,4296,5592,

%U 4398,4398,5592,4296,5037,10549,7576,11370,10949,9184,10949,11370,7576,10549

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001

%C Table starts

%C ....40....75...193....337....582....1350....2732....5037....10549....21615

%C ....75...131...310....566....976....2229....4296....7576....16060....32285

%C ...193...310...774...1411...2226....5592...11370...18899....40776....88106

%C ...337...566..1411...2775...4398...10949...22212...38389....86646...186223

%C ...582...976..2226...4398...9184...21050...40916...87410...201208...402848

%C ..1350..2229..5592..10949..21050...50674..105058..215160...491828..1049785

%C ..2732..4296.11370..22212..40916..105058..219852..434066..1050126..2356780

%C ..5037..7576.18899..38389..87410..215160..434066..991164..2519648..5328956

%C .10549.16060.40776..86646.201208..491828.1050126.2519648..6265304.13631378

%C .21615.32285.88106.186223.402848.1049785.2356780.5328956.13631378.31978322

%H R. H. Hardin, <a href="/A260544/b260544.txt">Table of n, a(n) for n = 1..544</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 9] for n>10

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

%F k=3: [order 19] for n>22

%F k=4: [order 27] for n>31

%F k=5: [order 59] for n>63

%F k=6: [order 91] for n>95

%e Some solutions for n=4 k=4

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jul 28 2015

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Last modified August 17 10:36 EDT 2022. Contains 356187 sequences. (Running on oeis4.)