cp's OEIS Frontend

A259245 Number of (n+1) X (3+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0011 or 0111.

%I A259245 #8 Dec 24 2018 16:22:38
%S A259245 48,192,720,2816,10720,41552,159168,614560,2360464,9098240,34986848,
%T A259245 134750672,518448960,1996103456,7681731600,29571245952,113812664288,
%U A259245 438098128720,1686212575424,6490526009760,24982143580048,96159317085952
%N A259245 Number of (n+1) X (3+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0011 or 0111.
%H A259245 R. H. Hardin, <a href="/A259245/b259245.txt">Table of n, a(n) for n = 1..210</a>
%F A259245 Empirical: a(n) = 2*a(n-1) + 12*a(n-2) - 11*a(n-3) - 30*a(n-4).
%F A259245 Empirical g.f.: 16*x*(3 + 6*x - 15*x^2 - 25*x^3) / (1 - 2*x - 12*x^2 + 11*x^3 + 30*x^4). - _Colin Barker_, Dec 24 2018
%e A259245 Some solutions for n=4:
%e A259245 ..1..1..0..0....0..1..0..1....0..0..0..1....0..1..0..0....0..1..0..0
%e A259245 ..0..1..1..1....1..1..0..1....1..1..1..1....0..1..0..0....1..1..1..1
%e A259245 ..0..1..0..1....0..1..0..1....0..0..1..0....1..1..0..0....0..1..0..1
%e A259245 ..0..1..1..1....1..1..1..1....1..1..1..1....0..1..0..0....1..1..1..1
%e A259245 ..1..1..0..1....1..0..1..0....1..0..0..1....0..1..0..0....0..0..0..0
%Y A259245 Column 3 of A259250.
%K A259245 nonn
%O A259245 1,1
%A A259245 _R. H. Hardin_, Jun 22 2015