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A240779 Number of nX4 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.

%I A240779 #6 Jul 23 2025 11:06:56
%S A240779 1,6,46,305,2167,15332,108509,767834,5434887,38467875,272273018,
%T A240779 1927138748,13640213436,96544878838,683340799760,4836658942731,
%U A240779 34233678967243,242304613789940,1715022389014131,12138860042126682
%N A240779 Number of nX4 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.
%C A240779 Column 4 of A240783
%H A240779 R. H. Hardin, <a href="/A240779/b240779.txt">Table of n, a(n) for n = 1..210</a>
%F A240779 Empirical: a(n) = 7*a(n-1) +2*a(n-2) -7*a(n-3) -25*a(n-4) -6*a(n-5) +150*a(n-6) +12*a(n-7) -456*a(n-8) -134*a(n-9) +408*a(n-10) +116*a(n-11) -171*a(n-12) +73*a(n-13) +388*a(n-14) +87*a(n-15) -127*a(n-16) -168*a(n-17) -62*a(n-18) -12*a(n-19) +16*a(n-20) +8*a(n-21) +2*a(n-22)
%e A240779 Some solutions for n=4
%e A240779 ..0..0..1..0....0..1..1..0....0..1..0..1....0..1..0..0....0..1..0..1
%e A240779 ..0..0..1..0....1..1..1..0....0..0..1..1....1..1..0..0....1..0..0..1
%e A240779 ..0..1..0..1....1..1..0..1....1..0..1..1....1..1..0..0....1..0..1..1
%e A240779 ..0..1..0..1....1..0..1..0....1..0..1..0....0..1..0..1....1..0..1..1
%K A240779 nonn
%O A240779 1,2
%A A240779 _R. H. Hardin_, Apr 12 2014