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A232276 Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

%I A232276 #7 Jul 23 2025 07:14:12
%S A232276 9,199,1672,18117,184115,1774344,17764558,178471267,1771400531,
%T A232276 17642252587,176152966672,1755746806600,17498252087398,
%U A232276 174492908718136,1739802753524141,17345014184699169,172936211392283816
%N A232276 Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.
%C A232276 Column 3 of A232281
%H A232276 R. H. Hardin, <a href="/A232276/b232276.txt">Table of n, a(n) for n = 1..210</a>
%F A232276 Empirical: a(n) = 9*a(n-1) -18*a(n-2) +519*a(n-3) -2040*a(n-4) +3043*a(n-5) -74525*a(n-6) +72611*a(n-7) -419003*a(n-8) +2780261*a(n-9) +746621*a(n-10) +13183774*a(n-11) -19468140*a(n-12) -36145594*a(n-13) -110263109*a(n-14) -133899468*a(n-15) +334282595*a(n-16) +329786843*a(n-17) +1622613490*a(n-18) -411666702*a(n-19) -727313352*a(n-20) -3837079952*a(n-21) -4919529456*a(n-22) +1329556928*a(n-23) +366342080*a(n-24) +11429099072*a(n-25) +4372362240*a(n-26) +665206272*a(n-27) +601740288*a(n-28) -11698587648*a(n-29) +503857152*a(n-30) -3370954752*a(n-31) -586579968*a(n-32) +3368189952*a(n-33) -743178240*a(n-34) +1401421824*a(n-35) for n>36
%e A232276 Some solutions for n=4
%e A232276 ..1..0..2....2..0..0....1..0..0....1..0..0....2..2..1....0..0..2....1..1..0
%e A232276 ..0..2..0....0..0..1....0..1..1....0..1..0....1..0..0....2..0..0....0..0..0
%e A232276 ..1..0..1....0..0..1....0..0..0....2..0..2....0..0..0....0..2..0....2..0..1
%e A232276 ..0..1..2....2..0..0....1..0..2....2..2..0....0..1..0....2..0..0....0..2..2
%K A232276 nonn
%O A232276 1,1
%A A232276 _R. H. Hardin_, Nov 22 2013