cp's OEIS Frontend

A196218 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 3,0,1,2,4 for x=0,1,2,3,4.

%I A196218 #7 Jun 02 2025 04:19:34
%S A196218 1,3,3,4,9,4,5,20,20,5,9,61,58,61,9,16,189,290,290,189,16,25,544,1217,
%T A196218 2161,1217,544,25,39,1629,5110,14605,14605,5110,1629,39,64,4973,21969,
%U A196218 101780,173216,101780,21969,4973,64,105,15040,93666,723029,1937895
%N A196218 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 3,0,1,2,4 for x=0,1,2,3,4.
%C A196218 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 2's, every 4 is next to 4 4's
%C A196218 Table starts
%C A196218 ...1.....3.......4.........5...........9............16..............25
%C A196218 ...3.....9......20........61.........189...........544............1629
%C A196218 ...4....20......58.......290........1217..........5110...........21969
%C A196218 ...5....61.....290......2161.......14605........101780..........723029
%C A196218 ...9...189....1217.....14605......173216.......1937895........21716929
%C A196218 ..16...544....5110....101780.....1937895......33962624.......608417005
%C A196218 ..25..1629...21969....723029....21716929.....608417005.....17831030743
%C A196218 ..39..4973...93666...5056631...244152037...11132866106....525537881675
%C A196218 ..64.15040..399920..35105556..2771090244..202301552532..15318916228421
%C A196218 .105.45739.1714601.245353935.31410926798.3661731514195.446553011295591
%H A196218 R. H. Hardin, <a href="/A196218/b196218.txt">Table of n, a(n) for n = 1..144</a>
%e A196218 Some solutions for n=6 k=4
%e A196218 ..0..0..2..1....0..1..1..0....1..0..2..1....0..1..1..0....1..0..0..0
%e A196218 ..1..2..1..0....2..1..1..2....1..2..1..0....0..1..1..1....1..0..0..0
%e A196218 ..1..0..1..2....1..0..0..1....0..2..1..0....1..2..0..1....1..1..2..1
%e A196218 ..1..0..1..1....1..1..2..1....0..1..1..0....2..0..0..1....0..2..2..1
%e A196218 ..2..0..2..0....0..2..0..0....0..1..2..0....1..1..1..2....0..1..1..0
%e A196218 ..1..0..1..1....1..1..0..0....1..2..0..0....0..2..1..0....0..1..2..0
%Y A196218 Column 1 is A195971
%K A196218 nonn,tabl
%O A196218 1,2
%A A196218 _R. H. Hardin_ Sep 29 2011