A196746 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 2,3,1,0,4 for x=0,1,2,3,4

1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 20, 7, 1, 1, 17, 71, 71, 17, 1, 1, 41, 282, 401, 282, 41, 1, 1, 99, 1144, 2923, 2923, 1144, 99, 1, 1, 239, 4559, 19567, 35202, 19567, 4559, 239, 1, 1, 577, 18153, 134507, 400368, 400368, 134507, 18153, 577, 1, 1, 1393, 72678, 919377

Offset

1,8

Comments

Every 0 is next to 0 2's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 4's

Table starts

.1....1......1........1..........1.............1...............1

.1....1......3........7.........17............41..............99

.1....3.....20.......71........282..........1144............4559

.1....7.....71......401.......2923.........19567..........134507

.1...17....282.....2923......35202........400368.........4717086

.1...41...1144....19567.....400368.......7942712.......158910093

.1...99...4559...134507....4717086.....158910093......5423213789

.1..239..18153...919377...54734117....3154873061....184583551173

.1..577..72678..6283897..637202902...62983652064...6281590396734

.1.1393.290202.42987489.7415237912.1254587192478.213663802431954

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

Some solutions for n=6 k=4
..0..0..3..0....0..0..3..0....0..0..3..0....0..3..0..0....0..0..3..0
..0..0..0..0....0..0..0..0....0..0..0..3....3..0..0..3....3..0..0..0
..0..0..0..0....0..0..0..0....0..1..3..0....0..3..0..0....0..0..0..3
..0..0..1..0....3..0..0..0....0..0..0..0....0..1..0..0....0..0..0..0
..3..0..3..0....0..0..0..3....3..0..0..3....0..1..3..0....0..1..3..0
..0..3..0..0....0..0..0..0....0..3..0..0....0..0..0..0....0..0..0..0

Crossrefs

Column 2 is A001333(n-1)

Sequence in context: A196809 A101842 A196786 * A196904 A197373 A197529

Adjacent sequences: A196743 A196744 A196745 * A196747 A196748 A196749

Keyword

nonn,tabl

Author

R. H. Hardin Oct 06 2011

Status

approved