A259995 - OEIS

%I #4 Jul 12 2015 10:20:54

%S 99,269,805,1819,4383,12412,32525,82616,222474,598599,1577548,4210492,

%T 11316402,30215951,80758149,216596656,580222858,1553421000,4163544562,

%U 11159591352,29901049773,80136519668,214797758849,575682349029

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101

%C Column 2 of A260001

%H R. H. Hardin, <a href="/A259995/b259995.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) +5*a(n-4) -19*a(n-5) -33*a(n-6) -45*a(n-7) -a(n-8) +25*a(n-9) +13*a(n-10) +5*a(n-11) +3*a(n-12) +9*a(n-13) +8*a(n-14)

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A260001

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 12 2015