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A230702 Number of (n+3)X(2+3) 0..2 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

%I A230702 #6 Jul 23 2025 05:57:37
%S A230702 8,28,244,800,6576,21076,173428,554040,4558536,14555468,119758148,
%T A230702 382358832,3145930352,10044068932,82639468964,263844008200,
%U A230702 2170826159272,6930820136252,57024624645332,182063126310336,1497958570841456
%N A230702 Number of (n+3)X(2+3) 0..2 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.
%C A230702 Column 2 of A230708
%H A230702 R. H. Hardin, <a href="/A230702/b230702.txt">Table of n, a(n) for n = 1..210</a>
%F A230702 Empirical: a(n) = 31*a(n-2) -126*a(n-4) +42*a(n-6) +79*a(n-8) -a(n-10) +8*a(n-12)
%e A230702 Some solutions for n=2
%e A230702 ..0..x..0..x..2....0..x..2..x..2....0..x..0..x..0....0..x..2..x..2
%e A230702 ..x..1..x..0..x....x..1..x..0..x....x..1..x..1..x....x..1..x..0..x
%e A230702 ..0..x..2..x..1....0..x..1..x..2....0..x..2..x..0....1..x..0..x..1
%e A230702 ..x..1..x..2..x....x..2..x..1..x....x..2..x..0..x....x..2..x..2..x
%e A230702 ..0..x..0..x..1....1..x..0..x..0....1..x..1..x..2....1..x..1..x..1
%K A230702 nonn
%O A230702 1,1
%A A230702 _R. H. Hardin_, Oct 28 2013