A196203 Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4.

1, 5, 7, 35, 135, 899, 10986, 136967, 3421139, 111262773, 5717068140, 412501303097, 44874896809668

Offset

1,2

Comments

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

Diagonal of A196210.

Links

Table of n, a(n) for n=1..13.

Example

Some solutions for n=4
..0..0..1..1....1..0..0..0....1..1..0..0....0..0..0..1....0..1..1..0
..1..1..1..0....1..0..0..0....0..1..1..1....0..0..0..1....0..1..4..1
..1..4..1..0....1..0..0..0....1..1..1..1....0..0..0..1....1..1..1..1
..0..1..1..0....1..0..0..0....1..0..0..0....0..0..0..1....1..0..0..0

Crossrefs

Cf. A196210.

Sequence in context: A341063 A018353 A176958 * A196473 A081851 A342504

Adjacent sequences: A196200 A196201 A196202 * A196204 A196205 A196206

Keyword

nonn

Author

R. H. Hardin, Sep 29 2011

Status

approved