A196017 T(n,k) = Number of n X k 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors within one of itself.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 7, 7, 3, 1, 1, 5, 13, 25, 13, 5, 1, 1, 9, 16, 27, 27, 16, 9, 1, 1, 17, 32, 91, 106, 91, 32, 17, 1, 1, 31, 65, 231, 316, 316, 231, 65, 31, 1, 1, 57, 125, 455, 835, 708, 835, 455, 125, 57, 1, 1, 105, 211, 1135, 2350, 3572, 3572, 2350

Offset: 1

Author

R. H. Hardin, Sep 26 2011

Keywords

• nonn
• tabl

Examples

			Table starts:
.1..1...1....1.....1......1.......1........1.........1..........1...........1
.1..1...1....1.....3......5.......9.......17........31.........57.........105
.1..1...2....7....13.....16......32.......65.......125........211.........390
.1..1...7...25....27.....91.....231......455......1135.......2693........6041
.1..3..13...27...106....316.....835.....2350......7232......21846.......63985
.1..5..16...91...316....708....3572....14607.....54710.....196832......782926
.1..9..32..231...835...3572...22711...100094....517009....2740712....14291156
.1.17..65..455..2350..14607..100094...670449...4760391...32900243...226381615
.1.31.125.1135..7232..54710..517009..4760391..44864449..411748723..3838635775
.1.57.211.2693.21846.196832.2740712.32900243.411748723.5122273171.64922269000
Some solutions for n=6 and k=4:
..2..2..2..0....2..2..3..2....2..3..3..2....2..2..3..2....0..2..2..2
..2..0..3..2....2..0..3..3....3..4..3..3....2..0..3..3....2..3..0..2
..3..3..3..3....3..3..3..3....3..3..0..2....3..3..4..3....3..4..3..3
..3..2..0..2....3..2..0..2....3..4..3..3....3..4..4..3....3..3..4..3
..2..0..2..2....2..0..2..2....3..4..4..3....3..4..4..3....2..0..3..3
..2..2..2..0....2..2..2..0....2..3..3..2....2..3..3..2....2..2..3..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..312

Crossrefs

The n-th term of the column 2 is A000213(n-2).