|
%I #6 Apr 18 2023 15:55:43
%S 172,270,468,662,1168,2372,3700,6158,11812,19350,31112,58428,98160,
%T 157340,290888,493946,796540,1451708,2482588,4029944,7257136,12470954,
%U 20367532,36325296,62623576,102859784,181987616,314402990,519129804
%N Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00000111.
%C Column 3 of A261709.
%H R. H. Hardin, <a href="/A261706/b261706.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-3) +3*a(n-6) +4*a(n-7) -2*a(n-9) +4*a(n-11) -8*a(n-13) +10*a(n-14) for n>20.
%e Some solutions for n=7
%e ..0..0..0..0..1....1..0..0..0..0....1..0..1..0..0....1..0..0..0..0
%e ..1..0..0..0..0....0..0..0..0..0....0..1..0..0..0....0..1..0..0..1
%e ..1..1..0..0..1....1..0..0..1..0....0..0..0..0..0....1..0..0..0..0
%e ..1..0..0..0..0....0..0..0..0..1....0..0..0..0..1....0..0..0..0..1
%e ..0..0..0..0..1....0..0..0..0..0....1..0..0..1..0....1..0..0..1..0
%e ..1..0..0..1..0....0..1..0..0..1....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....1..0..0..0..0....1..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..1..0....0..0..1..0..0
%e ..0..1..0..0..1....1..0..0..1..0....0..0..0..0..1....0..1..1..1..0
%Y Cf. A261709.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 28 2015
| 