A260135 - OEIS

%I #4 Jul 17 2015 06:57:45

%S 472,1626,7698,24696,89000,365308,1340176,4872072,18722120,70481648,

%T 261099100,983277524,3703246800,13842606580,51913534988,195076841960,

%U 731304173564,2741911934968,10290873860440,38603457828044

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111

%C Column 5 of A260138

%H R. H. Hardin, <a href="/A260135/b260135.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +33*a(n-3) +20*a(n-4) -18*a(n-5) -257*a(n-6) -260*a(n-7) -44*a(n-8) +912*a(n-9) +798*a(n-10) +241*a(n-11) -1094*a(n-12) -868*a(n-13) -450*a(n-14) +667*a(n-15) +251*a(n-16) +158*a(n-17) -247*a(n-18) -19*a(n-19) +25*a(n-20) +81*a(n-21) +7*a(n-22) -8*a(n-24) for n>25

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260138

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015