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A196014 Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself.

%I A196014 #7 Jul 22 2025 12:49:58
%S A196014 1,3,13,27,106,316,835,2350,7232,21846,63985,186029,548387,1625398,
%T A196014 4800819,14129048,41608725,122724222,362055916,1067475979,3146535362,
%U A196014 9276448225,27352573231,80649512515,237779505381,701041117758
%N A196014 Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself.
%C A196014 Column 5 of A196017
%H A196014 R. H. Hardin, <a href="/A196014/b196014.txt">Table of n, a(n) for n = 1..200</a>
%F A196014 Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) +19*a(n-4) -7*a(n-5) -16*a(n-6) -26*a(n-7) -90*a(n-8) +26*a(n-10) +41*a(n-11) +143*a(n-12) +3*a(n-13) -26*a(n-14) -17*a(n-15) -40*a(n-16) -4*a(n-17) +36*a(n-18) -18*a(n-19) -24*a(n-20) +11*a(n-21) +8*a(n-22) -4*a(n-23) for n>26
%e A196014 Some solutions for n=4
%e A196014 ..2..3..3..3..2....2..3..3..2..2....2..2..3..2..0....0..2..3..3..2
%e A196014 ..3..4..3..4..3....3..4..3..0..2....2..0..3..3..2....2..3..4..4..3
%e A196014 ..3..3..0..3..3....3..4..4..3..2....2..3..3..0..2....2..0..3..4..3
%e A196014 ..2..3..2..3..2....2..3..3..2..0....0..2..3..2..2....2..2..3..3..2
%K A196014 nonn
%O A196014 1,2
%A A196014 _R. H. Hardin_ Sep 26 2011