A197210 Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4.

1, 2, 14, 221, 10210, 1130812, 322715244, 242641943340, 469481820661588

Offset

1,2

Comments

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

Diagonal of A197217.

Links

Table of n, a(n) for n=1..9.

Example

Some solutions for n=4
..1..3..1..0....1..3..1..0....1..3..1..1....0..0..0..0....2..2..0..0
..1..1..0..0....0..1..1..0....0..1..1..3....0..1..2..2....2..2..0..0
..3..1..1..0....0..1..3..1....0..0..0..1....1..3..2..2....0..1..0..0
..1..1..3..1....0..0..0..0....0..0..0..0....0..1..0..0....1..3..1..0

Crossrefs

Cf. A197217.

Sequence in context: A068369 A034405 A372278 * A153668 A105749 A251692

Adjacent sequences: A197207 A197208 A197209 * A197211 A197212 A197213

Keyword

nonn

Author

R. H. Hardin, Oct 11 2011

Status

approved