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A232313 Number of (n+1)X(5+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.

%I A232313 #10 Jul 23 2025 07:17:51
%S A232313 169,5241,164014,5142441,161243887,5055954492,158534446141,
%T A232313 4971005036586,155870804492221,4887484036570530,153251920996775699,
%U A232313 4805366342762017785,150677039074382364646,4724628360214774512921,148145419363647806378212
%N A232313 Number of (n+1)X(5+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.
%C A232313 Column 5 of A232316
%H A232313 R. H. Hardin, <a href="/A232313/b232313.txt">Table of n, a(n) for n = 1..210</a>
%F A232313 Empirical: a(n) = 37*a(n-1) -184*a(n-2) +218*a(n-3) +76*a(n-4) -88*a(n-5) -273*a(n-6) +168*a(n-7) +210*a(n-8) -81*a(n-9) -107*a(n-10) +35*a(n-11) -a(n-12) for n>13
%e A232313 Some.solutions.for.n=3
%e A232313 ..0..0..0..0..1..1....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..1
%e A232313 ..0..0..0..0..1..1....0..1..0..0..0..0....0..1..0..0..1..1....0..0..1..0..1..1
%e A232313 ..1..1..0..0..1..1....1..0..1..1..1..1....1..0..1..0..1..1....0..1..1..0..0..0
%e A232313 ..1..0..1..1..1..1....0..0..0..1..0..0....1..1..0..1..0..0....1..0..0..0..1..1
%K A232313 nonn
%O A232313 1,1
%A A232313 _R. H. Hardin_, Nov 22 2013