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A260365 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111 1

%I #4 Jul 23 2015 13:10:44

%S 208,342,912,2014,2532,5806,13632,20576,39376,91830,156768,279744,

%T 621988,1154372,2028560,4261442,8304084,14800068,29615732,58935832,

%U 107612892,208478370,415856628,777318530,1480611488,2931957688,5578603544

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111

%C Column 3 of A260370

%H R. H. Hardin, <a href="/A260365/b260365.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-3) +11*a(n-4) -3*a(n-6) -46*a(n-7) -50*a(n-8) -10*a(n-9) +29*a(n-10) +148*a(n-11) +136*a(n-12) +12*a(n-13) -113*a(n-14) -228*a(n-15) -260*a(n-16) +10*a(n-17) +203*a(n-18) +200*a(n-19) +295*a(n-20) +8*a(n-21) -104*a(n-22) -80*a(n-23) -161*a(n-24) -16*a(n-25) +12*a(n-26) +4*a(n-27) +16*a(n-28) for n>30

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A260370

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 23 2015

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Last modified August 20 03:42 EDT 2024. Contains 375310 sequences. (Running on oeis4.)