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A204627 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..2 introduced in row major order.

%I A204627 #7 Jul 22 2025 18:11:12
%S A204627 49152,19923888,8077061502,3274427479938,1327448018292252,
%T A204627 538145459458960020,218163372078770313246,88443107870080810695504,
%U A204627 35854704917808122995732308,14535444261320212706089532832
%N A204627 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..2 introduced in row major order.
%C A204627 Column 5 of A204630
%H A204627 R. H. Hardin, <a href="/A204627/b204627.txt">Table of n, a(n) for n = 1..210</a>
%F A204627 Empirical: a(n) = 460*a(n-1) -23188*a(n-2) +435694*a(n-3) -3658549*a(n-4) +11358936*a(n-5) +20419834*a(n-6) -191355445*a(n-7) +159553869*a(n-8) +865499344*a(n-9) -1132300188*a(n-10) -1371731191*a(n-11) +1522080017*a(n-12) +5670605*a(n-13) -262860202*a(n-14) +47382216*a(n-15)
%e A204627 Some solutions for n=3
%e A204627 ..0..0..1..2..0..2....0..0..1..2..0..2....0..0..1..1..2..1....0..0..0..0..1..2
%e A204627 ..1..0..2..2..2..1....2..0..2..2..0..1....0..1..1..2..2..2....2..2..1..2..1..1
%e A204627 ..2..2..1..2..0..2....2..1..2..1..2..1....1..1..0..0..0..1....1..2..1..1..1..2
%e A204627 ..2..0..0..0..0..1....0..2..2..1..1..0....2..1..0..1..2..0....1..0..1..2..1..2
%K A204627 nonn
%O A204627 1,1
%A A204627 _R. H. Hardin_ Jan 17 2012