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A209097 Number of n X 5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.

%I A209097 #7 Mar 22 2023 14:48:53
%S A209097 41,3552,329064,30836932,2896732704,272236743760,25586970618660,
%T A209097 2404896311723064,226034468180738520,21244822678014930356,
%U A209097 1996786217098139769792,187676559324985292352416
%N A209097 Number of n X 5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.
%C A209097 Column 5 of A209100.
%H A209097 R. H. Hardin, <a href="/A209097/b209097.txt">Table of n, a(n) for n = 1..210</a>
%F A209097 Empirical: a(n) = 121*a(n-1) -2777*a(n-2) +23322*a(n-3) -88925*a(n-4) +181863*a(n-5) -277613*a(n-6) +499822*a(n-7) -787540*a(n-8) +679392*a(n-9) -232128*a(n-10) for n>12.
%e A209097 Some solutions for n=4
%e A209097 ..0..1..2..0..1....0..1..0..0..1....0..0..0..0..1....0..0..1..1..1
%e A209097 ..2..0..1..0..1....1..2..1..2..1....1..1..1..2..1....1..2..0..2..2
%e A209097 ..1..2..0..1..2....2..0..2..0..2....0..0..2..0..0....1..2..0..1..2
%e A209097 ..1..2..2..0..0....1..1..1..1..0....1..2..0..1..1....1..2..0..0..1
%Y A209097 Cf. A209100.
%K A209097 nonn
%O A209097 1,1
%A A209097 _R. H. Hardin_, Mar 05 2012