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Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011
1

%I #4 Jul 22 2015 07:44:27

%S 202,525,2027,6044,18380,60955,192277,595506,1903722,6052530,19003962,

%T 60149738,190824807,602506945,1904270753,6029330442,19066139003,

%U 60275105360,190686505791,603143941550,1907284297095,6032465100205

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011

%C Column 4 of A260284

%H R. H. Hardin, <a href="/A260280/b260280.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +24*a(n-3) +6*a(n-4) +6*a(n-5) -134*a(n-6) -100*a(n-7) -15*a(n-8) +357*a(n-9) +227*a(n-10) +71*a(n-11) -416*a(n-12) -300*a(n-13) -66*a(n-14) +222*a(n-15) +159*a(n-16) +41*a(n-17) -61*a(n-18) -31*a(n-19) +6*a(n-21) for n>26

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A260284

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 22 2015