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A197364 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 4,3,1,1,1 for x=0,1,2,3,4 7

%I

%S 1,1,1,1,1,1,1,9,9,1,1,17,33,17,1,1,33,113,113,33,1,1,89,593,803,593,

%T 89,1,1,249,2435,5855,5855,2435,249,1,1,553,10317,41459,79051,41459,

%U 10317,553,1,1,1321,45615,300943,1041263,1041263,300943,45615,1321,1,1,3361

%N 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 4,3,1,1,1 for x=0,1,2,3,4

%C Every 0 is next to 0 4's, every 1 is next to 1 3'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 Table starts

%C .1....1......1.........1...........1.............1................1

%C .1....1......9........17..........33............89..............249

%C .1....9.....33.......113.........593..........2435............10317

%C .1...17....113.......803........5855.........41459...........300943

%C .1...33....593......5855.......79051.......1041263.........13639968

%C .1...89...2435.....41459.....1041263......24799027........564930689

%C .1..249..10317....300943....13639968.....564930689......22225081365

%C .1..553..45615...2224023...178359981...13016997513.....916121380455

%C .1.1321.195093..16153497..2325301494..302413118055...37586117262267

%C .1.3361.841571.116797601.30421739045.7014256316261.1524500056348640

%H R. H. Hardin, <a href="/A197364/b197364.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions containing all values 0 to 4 for n=6 k=4

%e ..2..1..3..1....0..1..0..0....0..0..1..0....0..1..3..1....2..1..3..1

%e ..1..4..1..0....0..3..1..2....2..1..3..1....0..2..1..2....1..4..1..2

%e ..3..1..2..0....0..1..4..1....1..1..3..1....1..3..1..0....3..1..0..0

%e ..1..0..0..0....0..0..1..3....3..1..1..0....1..1..4..1....1..0..0..0

%e ..1..3..1..0....2..1..0..1....1..4..1..0....3..1..1..3....2..1..3..1

%e ..2..1..2..0....1..3..1..0....2..1..3..1....1..2..0..1....0..0..1..0

%Y Column 2 is A197344

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_ Oct 14 2011

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Last modified May 20 01:04 EDT 2022. Contains 353847 sequences. (Running on oeis4.)