A260011 - OEIS

%I #4 Jul 13 2015 08:45:31

%S 209,578,2492,8450,25600,84050,292422,985608,3251280,10857800,

%T 36602762,122774450,410260884,1373718528,4607045940,15437704898,

%U 51696499120,173176718162,580275938368,1944096211250,6512576848570,21817926896768

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101

%C Column 4 of A260015

%H R. H. Hardin, <a href="/A260011/b260011.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +9*a(n-3) +27*a(n-4) -13*a(n-5) -a(n-6) -54*a(n-7) -129*a(n-8) +13*a(n-9) -2*a(n-10) +48*a(n-11) +108*a(n-12) -4*a(n-13) -8*a(n-15) -16*a(n-16) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260015

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 13 2015