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A261378 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. 1

%I #4 Aug 17 2015 08:31:38

%S 247,470,1714,5254,14312,42302,128998,377183,1099308,3261560,9647696,

%T 28358158,83587624,246835566,727709732,2144744412,6325797274,

%U 18656814748,55007382412,162201500248,478326263928,1410502041960,4159149074114

%N Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101.

%C Column 6 of A261380.

%H R. H. Hardin, <a href="/A261378/b261378.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +54*a(n-4) +147*a(n-6) -232*a(n-8) -760*a(n-10) +1201*a(n-12) +1735*a(n-14) -4951*a(n-16) +1746*a(n-18) +4365*a(n-20) -3877*a(n-22) -2176*a(n-24) +4748*a(n-26) -2239*a(n-28) +25*a(n-30) +151*a(n-32) +117*a(n-34) -35*a(n-36) -2*a(n-38) -a(n-40) for n>44

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261380.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 17 2015

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Last modified August 18 10:08 EDT 2024. Contains 375264 sequences. (Running on oeis4.)