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A188872 Number of nX7 binary arrays without the pattern 0 0 0 antidiagonally or horizontally.

%I A188872 #7 Jul 22 2025 11:26:28
%S A188872 81,6561,385700,24609576,1558668181,98523889293,6231989402196,
%T A188872 394199392835388,24934537275160193,1577208767277367193,
%U A188872 99764749430808100292,6310518350640206463960,399165473341720336437009
%N A188872 Number of nX7 binary arrays without the pattern 0 0 0 antidiagonally or horizontally.
%C A188872 Column 7 of A188874
%H A188872 R. H. Hardin, <a href="/A188872/b188872.txt">Table of n, a(n) for n = 1..200</a>
%F A188872 Empirical: a(n) = 81*a(n-1) -1148*a(n-2) +2556*a(n-3) -87366*a(n-4) +1804002*a(n-5) -2207080*a(n-6) -70867388*a(n-7) +32972423*a(n-8) +2230665197*a(n-9) -4086729504*a(n-10) -20624987348*a(n-11) +50383243988*a(n-12) +69637220740*a(n-13) -201496189584*a(n-14) -120647252112*a(n-15) +316308674064*a(n-16) +285744226640*a(n-17) -401376039168*a(n-18) -227877410240*a(n-19) +256361762048*a(n-20) +32746840064*a(n-21) -47500075008*a(n-22) +1588264960*a(n-23) +2488795136*a(n-24) -264241152*a(n-25) for n>28
%e A188872 Some solutions for 3X7
%e A188872 ..0..1..1..0..1..0..0....0..1..1..0..0..1..1....0..0..1..0..1..0..0
%e A188872 ..1..1..1..1..1..0..0....1..0..1..1..0..1..0....0..1..1..0..0..1..0
%e A188872 ..1..1..0..0..1..1..1....1..1..1..1..1..1..0....0..0..1..1..0..1..1
%K A188872 nonn
%O A188872 1,1
%A A188872 _R. H. Hardin_ Apr 12 2011