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A197280 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4.

%I A197280 #7 Jun 02 2025 04:49:35
%S A197280 1,3,3,4,9,4,5,14,14,5,9,29,34,29,9,16,67,92,92,67,16,25,134,317,627,
%T A197280 317,134,25,39,275,888,2731,2731,888,275,39,64,583,2626,11850,16890,
%U A197280 11850,2626,583,64,105,1210,8078,57137,114205,114205,57137,8078,1210,105,169
%N A197280 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4.
%C A197280 Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's
%C A197280 Table starts
%C A197280 ...1....3.....4.......5.........9..........16...........25.............39
%C A197280 ...3....9....14......29........67.........134..........275............583
%C A197280 ...4...14....34......92.......317.........888.........2626...........8078
%C A197280 ...5...29....92.....627......2731.......11850........57137.........276689
%C A197280 ...9...67...317....2731.....16890......114205.......886737........6017949
%C A197280 ..16..134...888...11850....114205.....1276986.....13500114......135563958
%C A197280 ..25..275..2626...57137....886737....13500114....209785488.....3332948197
%C A197280 ..39..583..8078..276689...6017949...135563958...3332948197....84453386767
%C A197280 ..64.1210.24103.1344992..40918349..1464662469..55701159000..2019696975436
%C A197280 .105.2511.72107.6445595.290053910.15975572837.888511016495.47417406612765
%H A197280 R. H. Hardin, <a href="/A197280/b197280.txt">Table of n, a(n) for n = 1..180</a>
%e A197280 Some solutions containing all values 0 to 4 for n=6 k=4
%e A197280 ..2..1..0..1....1..0..1..2....1..0..0..1....1..0..1..1....1..0..1..2
%e A197280 ..1..4..1..1....1..1..4..1....3..1..3..1....3..1..1..0....1..1..4..1
%e A197280 ..0..1..3..0....0..3..1..0....1..4..1..0....1..4..1..0....0..3..1..0
%e A197280 ..0..3..1..0....0..1..1..0....0..1..3..0....0..1..3..1....0..1..3..1
%e A197280 ..0..1..1..0....0..3..1..0....0..1..1..0....1..1..0..1....1..1..0..1
%e A197280 ..1..2..2..1....0..1..1..0....1..2..2..1....2..1..0..1....2..1..0..1
%Y A197280 Column 1 is A195971
%K A197280 nonn,tabl
%O A197280 1,2
%A A197280 _R. H. Hardin_ Oct 12 2011