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Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101
1

%I #4 Aug 04 2015 07:36:44

%S 297,468,1800,4522,11608,27582,82766,191474,543551,1291912,3724868,

%T 8715812,25061915,59060378,169750208,398939434,1147482231,2699112784,

%U 7759824787,18248954340,52477167246,123413127854,354855957210

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101

%C Column 5 of A260927

%H R. H. Hardin, <a href="/A260924/b260924.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +31*a(n-4) -31*a(n-5) +97*a(n-6) -97*a(n-7) +39*a(n-8) -39*a(n-9) -144*a(n-10) +144*a(n-11) -29*a(n-12) +29*a(n-13) +189*a(n-14) -189*a(n-15) -125*a(n-16) +125*a(n-17) -14*a(n-18) +14*a(n-19) +40*a(n-20) -40*a(n-21) -13*a(n-22) +13*a(n-23) -a(n-24) +a(n-25) +a(n-26) -a(n-27) for n>28

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260927

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 04 2015