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A261113 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101 9

%I

%S 28,33,33,63,52,63,97,106,106,97,183,206,278,206,183,289,402,566,566,

%T 402,289,547,790,1408,1498,1408,790,547,865,1546,2902,3908,3908,2902,

%U 1546,865,1639,3026,7284,10268,13040,10268,7284,3026,1639,2593,5928,14942

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101

%C Table starts

%C ...28....33....63.....97.....183......289.......547.......865.......1639

%C ...33....52...106....206.....402......790......1546......3026.......5928

%C ...63...106...278....566....1408.....2902......7284.....14942......37432

%C ...97...206...566...1498....3908....10268.....27030.....70980.....186290

%C ..183...402..1408...3908...13040....35934....121313....333722....1122579

%C ..289...790..2902..10268...35934...127038....449132...1582692....5580762

%C ..547..1546..7284..27030..121313...449132...2037285...7510472...33972401

%C ..865..3026.14942..70980..333722..1582692...7510472..35551388..168309738

%C .1639..5928.37432.186290.1122579..5580762..33972401.168309738.1021480084

%C .2593.11610.76838.489516.3092874.19696792.125487988.797425262.5068545938

%H R. H. Hardin, <a href="/A261113/b261113.txt">Table of n, a(n) for n = 1..1012</a>

%F Empirical for column k:

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

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

%F k=3: a(n) = 3*a(n-2) +10*a(n-4) +5*a(n-6) +2*a(n-8) -2*a(n-10) +a(n-12) for n>13

%F k=4: [order 13] for n>14

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

%F k=6: [order 27] for n>28

%F k=7: [order 48] for n>49

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Aug 08 2015

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Last modified May 19 02:45 EDT 2019. Contains 323377 sequences. (Running on oeis4.)