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A232314 Number of (n+1)X(6+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.

%I A232314 #10 Jul 23 2025 07:17:59
%S A232314 549,32089,1905436,113293694,6736602042,400571676322,23818815015639,
%T A232314 1416315842358249,84217060496525106,5007720081104988709,
%U A232314 297769362466646214990,17705980324085995012465,1052834101669304585327957
%N A232314 Number of (n+1)X(6+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.
%C A232314 Column 6 of A232316
%H A232314 R. H. Hardin, <a href="/A232314/b232314.txt">Table of n, a(n) for n = 1..210</a>
%F A232314 Empirical: a(n) = 72*a(n-1) -776*a(n-2) +1665*a(n-3) +9178*a(n-4) -25937*a(n-5) -66159*a(n-6) +136942*a(n-7) +220000*a(n-8) -272204*a(n-9) -190803*a(n-10) +93056*a(n-11) -91520*a(n-12) -19693*a(n-13) -8950*a(n-14) -5251*a(n-15) +211*a(n-16) -842*a(n-17) -172*a(n-18) for n>20
%e A232314 Some.solutions.for.n=2
%e A232314 ..0..0..1..1..1..0..0....0..0..1..0..0..1..1....0..0..0..0..0..1..1
%e A232314 ..0..0..1..0..1..1..0....1..1..1..1..1..0..0....0..0..1..0..0..1..1
%e A232314 ..0..0..0..0..0..0..0....1..1..0..0..0..1..1....1..1..1..0..0..1..1
%K A232314 nonn
%O A232314 1,1
%A A232314 _R. H. Hardin_, Nov 22 2013