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A184756 Half the number of n X 4 binary arrays with no 1 having an adjacent 1 both above and to its left.

%I A184756 #8 Feb 27 2018 11:17:39
%S A184756 8,89,1056,12397,145778,1713803,20148584,236878817,2784890782,
%T A184756 32740859687,384921344068,4525368067837,53202963328218,
%U A184756 625486206737315,7353594054643744,86453298151112665,1016397248157274582
%N A184756 Half the number of n X 4 binary arrays with no 1 having an adjacent 1 both above and to its left.
%C A184756 Column 4 of A184761.
%H A184756 R. H. Hardin, <a href="/A184756/b184756.txt">Table of n, a(n) for n = 1..200</a>
%F A184756 Empirical: a(n) = 8*a(n-1) + 39*a(n-2) + 58*a(n-3) + 32*a(n-4).
%F A184756 Empirical g.f.: x*(8 + 25*x + 32*x^2 + 14*x^3) / (1 - 8*x - 39*x^2 - 58*x^3 - 32*x^4). - _Colin Barker_, Feb 27 2018
%e A184756 Some solutions for 3 X 4:
%e A184756 ..1..1..0..0....0..1..1..1....1..0..1..0....0..1..1..0....0..1..0..1
%e A184756 ..1..0..0..1....0..0..0..0....0..1..0..0....1..0..0..1....0..1..0..0
%e A184756 ..1..1..1..0....0..0..0..1....0..0..0..1....1..1..0..0....0..1..1..0
%Y A184756 Cf. A184761.
%K A184756 nonn
%O A184756 1,1
%A A184756 _R. H. Hardin_, Jan 21 2011