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A196210 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 2,0,3,4,1 for x=0,1,2,3,4.

%I A196210 #7 Jun 02 2025 04:18:54
%S A196210 1,3,3,4,5,4,5,8,8,5,8,11,7,11,8,12,18,14,14,18,12,17,28,17,35,17,28,
%T A196210 17,25,43,27,70,70,27,43,25,37,67,42,136,135,136,42,67,37,54,105,58,
%U A196210 305,301,301,305,58,105,54,79,164,94,611,751,899,751,611,94,164,79,116,257,137
%N A196210 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 2,0,3,4,1 for x=0,1,2,3,4.
%C A196210 Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 4's, every 4 is next to 4 1's
%C A196210 Table starts
%C A196210 ..1...3...4....5.....8....12.....17......25.......37........54........79
%C A196210 ..3...5...8...11....18....28.....43......67......105.......164.......257
%C A196210 ..4...8...7...14....17....27.....42......58.......94.......137.......208
%C A196210 ..5..11..14...35....70...136....305.....611.....1321......2832......6041
%C A196210 ..8..18..17...70...135...301....751....1774.....4243.....10211.....24823
%C A196210 .12..28..27..136...301...899...2922....7680....24326.....71539....213378
%C A196210 .17..43..42..305...751..2922..10986...35529...128823....472599...1687338
%C A196210 .25..67..58..611..1774..7680..35529..136967...627285...2695504..11805281
%C A196210 .37.105..94.1321..4243.24326.128823..627285..3421139..17683925..93767603
%C A196210 .54.164.137.2832.10211.71539.472599.2695504.17683925.111262773.726204291
%H A196210 R. H. Hardin, <a href="/A196210/b196210.txt">Table of n, a(n) for n = 1..337</a>
%e A196210 Some solutions for n=6 k=4
%e A196210 ..0..0..1..1....1..0..0..1....0..1..1..0....1..0..1..1....0..1..1..0
%e A196210 ..1..1..1..0....1..0..0..1....0..1..1..0....1..1..1..0....1..1..1..0
%e A196210 ..1..4..1..0....1..0..0..1....1..1..4..1....0..1..1..0....1..0..1..1
%e A196210 ..0..1..1..0....1..0..0..1....1..0..1..1....0..1..1..0....1..0..1..1
%e A196210 ..1..1..1..1....1..0..0..1....1..1..1..0....1..1..1..1....1..1..1..0
%e A196210 ..1..0..0..1....1..0..0..1....0..1..1..0....1..0..0..1....0..1..1..0
%Y A196210 Column 1 is A179070(n+2)
%K A196210 nonn,tabl
%O A196210 1,2
%A A196210 _R. H. Hardin_ Sep 29 2011