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.

1, 3, 3, 4, 9, 4, 5, 20, 20, 5, 9, 61, 58, 61, 9, 16, 187, 290, 290, 187, 16, 25, 536, 1201, 2161, 1201, 536, 25, 39, 1597, 4988, 14231, 14231, 4988, 1597, 39, 64, 4849, 21344, 97892, 160800, 97892, 21344, 4849, 64, 105, 14582, 90150, 686759, 1752855, 1752855

Offset: 1

Author

R. H. Hardin Sep 30 2011

Keywords

• nonn
• tabl

Comments

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

Table starts

...1.....3.......4.........5...........9............16..............25

...3.....9......20........61.........187...........536............1597

...4....20......58.......290........1201..........4988...........21344

...5....61.....290......2161.......14231.........97892..........686759

...9...187....1201.....14231......160800.......1752855........19123802

..16...536....4988.....97892.....1752855......29726608.......513362648

..25..1597...21344....686759....19123802.....513362648.....14372583192

..39..4849...90150...4731033...207927811....9011375854....402254701097

..64.14582..381754..32374680..2289816421..157499416616..11172616795189

.105.44097.1621695.222897413.25196042496.2741611675889.309961960884860

Examples

			Some solutions for n=6 k=4
..1..1..2..1....1..0..1..1....1..1..1..1....1..0..0..0....0..1..1..0
..0..0..0..0....1..0..2..0....0..0..0..0....1..2..1..1....0..1..2..0
..1..2..1..1....1..0..1..1....0..0..2..1....0..0..2..2....1..1..2..0
..1..0..1..2....2..1..1..1....0..0..1..2....0..0..1..1....1..0..1..2
..2..1..2..0....0..2..0..0....1..2..1..0....0..2..1..0....2..0..2..1
..0..1..2..1....0..1..1..1....1..0..1..1....0..1..2..0....1..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Column 1 is A195971