A260064 - OEIS

%I #8 Dec 28 2018 09:06:17

%S 91,214,594,1214,2367,5776,13366,28064,63014,147105,325915,721179,

%T 1649899,3734463,8328506,18806873,42666206,95949037,215937944,

%U 488468336,1102502639,2483197081,5605117964,12658186788,28545528326,64390447013

%N Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111.

%H R. H. Hardin, <a href="/A260064/b260064.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + a(n-2) + 6*a(n-3) + 4*a(n-4) - 10*a(n-5) - 13*a(n-6) - 12*a(n-7) - 9*a(n-8) + 7*a(n-9) + 6*a(n-10) + 5*a(n-11).

%F Empirical g.f.: x*(91 + 123*x + 289*x^2 - 140*x^3 - 1089*x^4 - 1315*x^5 - 1114*x^6 - 322*x^7 + 709*x^8 + 596*x^9 + 349*x^10) / (1 - x - x^2 - 6*x^3 - 4*x^4 + 10*x^5 + 13*x^6 + 12*x^7 + 9*x^8 - 7*x^9 - 6*x^10 - 5*x^11). - _Colin Barker_, Dec 28 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 2 of A260070.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 14 2015