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%I #6 Nov 07 2013 05:21:09
%S 12,51,301,1934,12150,78028,503290,3300161,21613114,142211597,
%T 935498770,6162356043,40586946972,267431775698,1762039513414,
%U 11611113184810,76511018946858,504186073584110,3322423043189704,21893946278661421
%N Number of (n+1)X(4+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order
%C Column 4 of A231302
%H R. H. Hardin, <a href="/A231298/b231298.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11*a(n-1) -6*a(n-2) -283*a(n-3) +788*a(n-4) +1675*a(n-5) -8932*a(n-6) +5485*a(n-7) +18629*a(n-8) -33114*a(n-9) +81726*a(n-10) -326060*a(n-11) +421899*a(n-12) +1555711*a(n-13) -6914016*a(n-14) +7018047*a(n-15) +17608661*a(n-16) -63394302*a(n-17) +61686396*a(n-18) +74583820*a(n-19) -279372999*a(n-20) +265580931*a(n-21) +162521882*a(n-22) -728610637*a(n-23) +860650531*a(n-24) -343871162*a(n-25) -394103954*a(n-26) +814284480*a(n-27) -807256875*a(n-28) +438672649*a(n-29) +77762292*a(n-30) -327929903*a(n-31) +530712612*a(n-32) -717873113*a(n-33) +747717214*a(n-34) -800169317*a(n-35) +391145907*a(n-36) +266147114*a(n-37) -740773130*a(n-38) +843008816*a(n-39) -404393152*a(n-40) -64001120*a(n-41) +251054400*a(n-42) -167769600*a(n-43) +34560000*a(n-44) for n>48
%e Some solutions for n=4
%e ..0..0..0..0..0....0..1..1..1..0....0..0..1..1..1....0..1..1..1..1
%e ..1..1..1..0..0....0..1..1..0..0....0..1..1..1..1....0..1..1..1..1
%e ..1..1..1..1..1....0..0..0..2..2....1..1..1..1..1....0..0..1..1..2
%e ..1..1..1..1..2....0..0..2..2..2....1..0..0..0..0....0..0..0..2..2
%e ..1..1..1..2..2....0..2..2..2..2....0..0..0..0..0....0..0..0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 07 2013
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