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%I #4 Jul 16 2015 07:23:42
%S 206,477,1136,2768,6878,17125,42372,104772,258690,639184,1578958,
%T 3902316,9640990,23821537,58852874,145410924,359251828,887606592,
%U 2192956508,5418102592,13386231028,33072997411,81712020092,201883197204
%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101
%C Column 3 of A260106
%H R. H. Hardin, <a href="/A260101/b260101.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-2) +3*a(n-3) +13*a(n-4) +9*a(n-5) -a(n-6) -15*a(n-7) -85*a(n-8) -97*a(n-9) -130*a(n-10) -106*a(n-11) +6*a(n-12) +115*a(n-13) +537*a(n-14) +649*a(n-15) +592*a(n-16) +680*a(n-17) -2*a(n-18) -661*a(n-19) -954*a(n-20) -1415*a(n-21) -1370*a(n-22) -746*a(n-23) +52*a(n-24) +491*a(n-25) +557*a(n-26) +394*a(n-27) -41*a(n-28) -119*a(n-29) +32*a(n-30) +38*a(n-31) -2*a(n-32) +6*a(n-34) for n>35
%e Some solutions for n=4
%e ..0..0..1..0..0....0..0..0..0..0....0..1..0..0..0....1..0..0..0..1
%e ..0..1..0..0..0....0..0..0..0..0....1..0..0..0..0....0..1..0..1..0
%e ..0..0..1..0..0....0..0..1..0..0....0..1..0..0..1....1..0..1..0..1
%e ..0..0..0..0..0....0..0..0..1..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..0..1..0..0....0..0..0..0..0....1..0..0..0..0
%e ..1..0..0..1..0....0..1..0..1..0....0..0..1..0..1....0..1..0..0..1
%Y Cf. A260106
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 16 2015
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