cp's OEIS Frontend

A188987 Number of n X 4 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.

%I A188987 #8 May 01 2018 09:38:19
%S A188987 12,144,1256,10812,92532,791388,6768028,57879084,494973804,4232940812,
%T A188987 36199474380,309572453388,2647417026444,22640311889164,
%U A188987 193616539257612,1655779498747404,14159977029956108,121093992068450316
%N A188987 Number of n X 4 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.
%C A188987 Column 4 of A188992.
%H A188987 R. H. Hardin, <a href="/A188987/b188987.txt">Table of n, a(n) for n = 1..200</a>
%F A188987 Empirical: a(n) = 9*a(n-1) -36*a(n-3) +24*a(n-4) +36*a(n-5) -48*a(n-6) +16*a(n-7).
%F A188987 Empirical g.f.: 4*x*(1 + x - 2*x^2 + x^3)*(3 + 6*x - 10*x^2 + 4*x^3) / ((1 - x)*(1 - 8*x - 8*x^2 + 28*x^3 + 4*x^4 - 32*x^5 + 16*x^6)). - _Colin Barker_, May 01 2018
%e A188987 Some solutions for 3 X 4:
%e A188987 ..1..0..1..1....1..1..0..0....1..0..1..1....1..0..1..1....1..0..1..1
%e A188987 ..1..1..1..0....1..1..1..0....1..0..0..0....0..1..0..0....1..1..0..1
%e A188987 ..0..1..1..0....0..1..0..1....1..0..0..0....1..1..0..0....1..1..0..1
%Y A188987 Cf. A188992.
%K A188987 nonn
%O A188987 1,1
%A A188987 _R. H. Hardin_, Apr 15 2011