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A197052 Number of nX6 0..4 arrays with each element equal to the number its horizontal and vertical zero neighbors.

%I A197052 #7 Jul 22 2025 12:51:57
%S A197052 5,16,78,274,1132,4468,17742,70616,281202,1117442,4448148,17693664,
%T A197052 70390082,280040518,1114106280,4432207738,17633023628,70149839190,
%U A197052 279079644000,1110273409628,4417041071578,17572471614384,69909222737482
%N A197052 Number of nX6 0..4 arrays with each element equal to the number its horizontal and vertical zero neighbors.
%C A197052 Every 0 is next to 0 0's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 0's
%C A197052 Column 6 of A197054
%H A197052 R. H. Hardin, <a href="/A197052/b197052.txt">Table of n, a(n) for n = 1..210</a>
%F A197052 Empirical: a(n) = 2*a(n-1) +7*a(n-2) +9*a(n-3) -15*a(n-4) -38*a(n-5) +45*a(n-6) -16*a(n-7) -91*a(n-9) +117*a(n-10) -63*a(n-11) +52*a(n-12) -19*a(n-13) +5*a(n-14) +8*a(n-15) -10*a(n-16) +4*a(n-17) -4*a(n-18) for n>19
%e A197052 Some solutions for n=4
%e A197052 ..0..3..0..2..0..2....0..3..0..2..1..0....2..0..3..0..3..0....0..2..0..3..0..1
%e A197052 ..2..0..2..1..2..0....2..0..4..0..2..1....0..4..0..3..0..3....1..1..2..0..2..1
%e A197052 ..1..1..2..0..1..2....1..2..0..4..0..2....3..0..2..1..2..0....2..0..2..1..2..0
%e A197052 ..0..2..0..2..1..0....0..1..2..0..3..0....0..2..1..0..1..1....0..3..0..2..0..2
%K A197052 nonn
%O A197052 1,1
%A A197052 _R. H. Hardin_ Oct 09 2011