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A228279 Number of n X 4 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or nw-se diagonally.

%I A228279 #15 Mar 16 2018 13:15:16
%S A228279 3,6,35,133,587,2448,10414,44024,186414,789100,3340345,14140347,
%T A228279 59858152,253389483,1072638232,4540650778,19221306410,81366888278,
%U A228279 344439152622,1458066449898,6172230293325,26128045670722,110604228640954
%N A228279 Number of n X 4 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or nw-se diagonally.
%C A228279 Column 4 of A228285.
%H A228279 R. H. Hardin, <a href="/A228279/b228279.txt">Table of n, a(n) for n = 1..210</a>
%F A228279 a(n) = a(n-1) + 10*a(n-2) + 15*a(n-3) + 4*a(n-4) - 6*a(n-5) - a(n-6) + 3*a(n-7) - a(n-8).
%F A228279 G.f.: x*(1 - x)*(3 + 6*x + 5*x^2 - 2*x^3) / (1 - x - 10*x^2 - 15*x^3 - 4*x^4 + 6*x^5 + x^6 - 3*x^7 + x^8). - _Colin Barker_, Mar 16 2018
%e A228279 Some solutions for n=4:
%e A228279 ..1..0..1..0....1..0..0..1....1..0..0..1....1..0..1..0....1..0..0..0
%e A228279 ..0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..0....0..0..0..1
%e A228279 ..1..0..1..0....0..0..0..0....0..0..0..0....0..0..1..0....0..1..0..0
%e A228279 ..0..0..0..0....0..0..1..0....1..0..0..1....1..0..0..0....0..0..0..0
%Y A228279 See A228277-A228285, especially the latter.
%K A228279 nonn
%O A228279 1,1
%A A228279 _R. H. Hardin_, Aug 19 2013
%E A228279 Edited by _N. J. A. Sloane_, Aug 22 2013