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A232046 Number of nX7 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.

%I A232046 #6 Jul 23 2025 06:50:05
%S A232046 37,426,21680,1060850,55505057,2882322121,149582129861,7766282047395,
%T A232046 403179428472169,20931014633412316,1086631809725472699,
%U A232046 56412330010727022796,2928639202177098316335,152039923888661955022045
%N A232046 Number of nX7 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.
%C A232046 Column 7 of A232047
%H A232046 R. H. Hardin, <a href="/A232046/b232046.txt">Table of n, a(n) for n = 1..210</a>
%F A232046 Empirical: a(n) = 37*a(n-1) +1006*a(n-2) -7908*a(n-3) -238744*a(n-4) +827527*a(n-5) +25644226*a(n-6) -60426052*a(n-7) -1492286296*a(n-8) +3633925342*a(n-9) +43875666568*a(n-10) -107977809709*a(n-11) -703020167435*a(n-12) +1582946864094*a(n-13) +6861058051370*a(n-14) -13007490174177*a(n-15) -46519199569498*a(n-16) +69047601485641*a(n-17) +229859178338360*a(n-18) -242130553402589*a(n-19) -832929979409983*a(n-20) +545952115529243*a(n-21) +2151614123430291*a(n-22) -774525810027452*a(n-23) -3911959857587902*a(n-24) +671585850443119*a(n-25) +4994005418173713*a(n-26) -331105726209586*a(n-27) -4446327813002721*a(n-28) +67432823122826*a(n-29) +2717194954748778*a(n-30) +19167495231573*a(n-31) -1114986545930127*a(n-32) -19793693900133*a(n-33) +300747559736654*a(n-34) +7123485575828*a(n-35) -52288217100393*a(n-36) -1364793526983*a(n-37) +5761797739537*a(n-38) +137423835774*a(n-39) -389750002988*a(n-40) -4269685856*a(n-41) +15838342144*a(n-42) -48642048*a(n-43) -297844736*a(n-44) for n>47
%e A232046 Some solutions for n=3
%e A232046 ..1..1..0..0..1..1..0....1..1..1..0..0..1..0....1..1..0..0..0..1..0
%e A232046 ..0..0..0..0..0..0..1....1..1..0..0..0..0..1....1..0..0..0..0..0..0
%e A232046 ..0..0..0..1..1..1..1....1..0..0..1..0..0..0....0..1..1..1..0..0..1
%K A232046 nonn
%O A232046 1,1
%A A232046 _R. H. Hardin_, Nov 17 2013