A259947 - OEIS

%I #4 Jul 10 2015 07:06:07

%S 156,549,2438,8699,30351,115410,438353,1615572,5983278,22387088,

%T 83497726,310419235,1155916673,4308316980,16046423584,59751346761,

%U 222558385418,829007147866,3087623758483,11499815151619,42832625165165

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101

%C Column 3 of A259952

%H R. H. Hardin, <a href="/A259947/b259947.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) +12*a(n-3) +27*a(n-4) -31*a(n-5) -10*a(n-6) -62*a(n-7) -30*a(n-8) +42*a(n-9) +13*a(n-10) +47*a(n-11) -3*a(n-12) -14*a(n-13) -4*a(n-15) +2*a(n-16) for n>17

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A259952

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2015