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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A189061 Number of nX6 binary arrays without the pattern 0 1 0 antidiagonally or horizontally.

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%I A189061 #7 Jul 22 2025 11:32:00
%S A189061 37,1369,33893,795741,19468046,477128662,11711612310,287687887135,
%T A189061 7067105036501,173620295413143,4265418644778934,104791458935593868,
%U A189061 2574487020801597635,63249299061752722582,1553891946650453527104
%N A189061 Number of nX6 binary arrays without the pattern 0 1 0 antidiagonally or horizontally.
%C A189061 Column 6 of A189064
%H A189061 R. H. Hardin, <a href="/A189061/b189061.txt">Table of n, a(n) for n = 1..200</a>
%F A189061 Empirical: a(n) = 37*a(n-1) -284*a(n-2) -1134*a(n-3) +14360*a(n-4) +36737*a(n-5) -643348*a(n-6) +2085746*a(n-7) -2368868*a(n-8) +807969*a(n-9) -4053547*a(n-10) +13028432*a(n-11) -14665678*a(n-12) +6463282*a(n-13) -256476*a(n-14) -534719*a(n-15) +81847*a(n-16) +10344*a(n-17) -1936*a(n-18) for n>19
%e A189061 Some solutions for 3X6
%e A189061 ..0..1..1..1..1..0....1..0..0..0..1..1....0..0..1..1..0..0....1..1..1..1..0..1
%e A189061 ..0..1..1..0..1..1....0..0..1..1..1..1....0..1..1..0..0..0....0..0..0..0..0..0
%e A189061 ..1..0..0..1..1..1....0..1..1..1..1..1....0..1..1..1..0..1....1..1..1..1..0..0
%K A189061 nonn
%O A189061 1,1
%A A189061 _R. H. Hardin_ Apr 16 2011