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A197312 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,1,1,0,0 for x=0,1,2,3,4.

%I A197312 #7 Jun 02 2025 04:50:20
%S A197312 2,3,5,10,128,79,249,662,2767,3969,14343,26565,85744,172877,540761,
%T A197312 1086259,3216870,6970421,19943621,43866426,122208464,276719535,
%U A197312 753092637,1739409216,4652758432,10905015671,28759884710,68307698666,178118628885
%N A197312 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,1,1,0,0 for x=0,1,2,3,4.
%C A197312 Every 0 is next to 0 0's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's
%C A197312 Column 3 of A197317
%H A197312 R. H. Hardin, <a href="/A197312/b197312.txt">Table of n, a(n) for n = 1..200</a>
%F A197312 Empirical: a(n) = 2*a(n-2) +3*a(n-3) +17*a(n-4) +a(n-5) +32*a(n-6) -13*a(n-7) -61*a(n-8) -41*a(n-9) -115*a(n-10) -83*a(n-11) -315*a(n-12) -280*a(n-13) -12*a(n-14) +214*a(n-15) -659*a(n-16) +358*a(n-17) +319*a(n-18) +247*a(n-19) -121*a(n-20) -109*a(n-21) -12*a(n-22) +50*a(n-23) +46*a(n-24) +a(n-25) -a(n-26) -3*a(n-27) for n>28
%e A197312 Some solutions for n=4
%e A197312 ..0..3..0....2..1..1....0..3..0....0..3..0....0..3..0....1..1..0....1..2..1
%e A197312 ..3..0..1....1..2..0....1..0..3....3..0..1....1..0..3....0..2..1....1..0..1
%e A197312 ..0..2..1....1..0..3....1..2..0....0..2..1....1..2..0....3..0..1....2..1..2
%e A197312 ..1..1..2....0..3..0....0..1..1....1..1..0....2..1..1....0..3..0....0..1..0
%K A197312 nonn
%O A197312 1,1
%A A197312 _R. H. Hardin_ Oct 13 2011