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A231128 Number of (n+1)X(5+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

%I A231128 #6 Jul 23 2025 06:16:05
%S A231128 44,808,16812,336004,6794904,137063228,2766762720,55844298404,
%T A231128 1127200291672,22752159616932,459245479460980,9269732838699552,
%U A231128 187106806814395160,3776695456768760064,76231479318266197484
%N A231128 Number of (n+1)X(5+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
%C A231128 Column 5 of A231131
%H A231128 R. H. Hardin, <a href="/A231128/b231128.txt">Table of n, a(n) for n = 1..210</a>
%F A231128 Empirical: a(n) = 19*a(n-1) +100*a(n-2) -1421*a(n-3) -4571*a(n-4) +41798*a(n-5) +109974*a(n-6) -656246*a(n-7) -1487069*a(n-8) +6049195*a(n-9) +10975788*a(n-10) -36061191*a(n-11) -49057120*a(n-12) +141523895*a(n-13) +153287320*a(n-14) -392824214*a(n-15) -336027204*a(n-16) +774335315*a(n-17) +540155584*a(n-18) -1090045760*a(n-19) -660547896*a(n-20) +1055685216*a(n-21) +727317632*a(n-22) -736522560*a(n-23) -722352896*a(n-24) +448343296*a(n-25) +529357824*a(n-26) -270748672*a(n-27) -249294848*a(n-28) +108318720*a(n-29) +74661888*a(n-30) -20348928*a(n-31) -12419072*a(n-32) +1310720*a(n-33) +786432*a(n-34)
%e A231128 Some solutions for n=3
%e A231128 ..0..x..0..x..1..x....0..x..1..x..1..x....0..x..1..x..0..x....0..x..1..x..1..x
%e A231128 ..x..2..x..0..x..0....x..2..x..0..x..0....x..2..x..1..x..0....x..1..x..0..x..2
%e A231128 ..2..x..1..x..1..x....0..x..0..x..1..x....1..x..2..x..1..x....2..x..1..x..2..x
%e A231128 ..x..0..x..2..x..0....x..1..x..0..x..0....x..0..x..0..x..0....x..0..x..0..x..1
%K A231128 nonn
%O A231128 1,1
%A A231128 _R. H. Hardin_, Nov 04 2013