A260471 - OEIS

%I #4 Jul 26 2015 18:00:02

%S 205,471,1723,5034,15502,51552,161176,500384,1604536,5086798,15970826,

%T 50628404,160518794,506646020,1602247622,5073114544,16039699386,

%U 50717541826,160468331560,507552451076,1605133576768,5077305382754

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

%C Column 4 of A260475

%H R. H. Hardin, <a href="/A260471/b260471.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +16*a(n-3) +7*a(n-4) -14*a(n-5) -45*a(n-6) -14*a(n-7) +7*a(n-8) +42*a(n-9) +10*a(n-10) -37*a(n-11) -82*a(n-12) -25*a(n-13) +110*a(n-14) +169*a(n-15) +20*a(n-16) -71*a(n-17) -88*a(n-18) -20*a(n-19) +58*a(n-20) +83*a(n-21) +72*a(n-22) -60*a(n-23) -79*a(n-24) -63*a(n-25) +4*a(n-26) +16*a(n-27) +10*a(n-28) for n>32

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A260475

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2015