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A196300 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 3,0,1,4,2 for x=0,1,2,3,4.

%I A196300 #7 Jun 02 2025 04:20:47
%S A196300 1,3,3,4,9,4,5,20,20,5,9,61,58,61,9,16,187,290,290,187,16,25,536,1201,
%T A196300 2161,1201,536,25,39,1597,4988,14231,14231,4988,1597,39,64,4849,21344,
%U A196300 97892,160800,97892,21344,4849,64,105,14582,90150,686759,1752855,1752855
%N A196300 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 3,0,1,4,2 for x=0,1,2,3,4.
%C A196300 Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 4's, every 4 is next to 4 2's
%C A196300 Table starts
%C A196300 ...1.....3.......4.........5...........9............16..............25
%C A196300 ...3.....9......20........61.........187...........536............1597
%C A196300 ...4....20......58.......290........1201..........4988...........21344
%C A196300 ...5....61.....290......2161.......14231.........97892..........686759
%C A196300 ...9...187....1201.....14231......160800.......1752855........19123802
%C A196300 ..16...536....4988.....97892.....1752855......29726608.......513362648
%C A196300 ..25..1597...21344....686759....19123802.....513362648.....14372583192
%C A196300 ..39..4849...90150...4731033...207927811....9011375854....402254701097
%C A196300 ..64.14582..381754..32374680..2289816421..157499416616..11172616795189
%C A196300 .105.44097.1621695.222897413.25196042496.2741611675889.309961960884860
%H A196300 R. H. Hardin, <a href="/A196300/b196300.txt">Table of n, a(n) for n = 1..144</a>
%e A196300 Some solutions for n=6 k=4
%e A196300 ..1..1..2..1....1..0..1..1....1..1..1..1....1..0..0..0....0..1..1..0
%e A196300 ..0..0..0..0....1..0..2..0....0..0..0..0....1..2..1..1....0..1..2..0
%e A196300 ..1..2..1..1....1..0..1..1....0..0..2..1....0..0..2..2....1..1..2..0
%e A196300 ..1..0..1..2....2..1..1..1....0..0..1..2....0..0..1..1....1..0..1..2
%e A196300 ..2..1..2..0....0..2..0..0....1..2..1..0....0..2..1..0....2..0..2..1
%e A196300 ..0..1..2..1....0..1..1..1....1..0..1..1....0..1..2..0....1..0..0..0
%Y A196300 Column 1 is A195971
%K A196300 nonn,tabl
%O A196300 1,2
%A A196300 _R. H. Hardin_ Sep 30 2011