A196572 Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,2,3,0,4 for x=0,1,2,3,4.

1, 1, 16, 145, 8781, 770738, 209244430, 130044352635, 201766678562403, 769785349802611323, 7207100576124898000123, 166275868999956401361788826

Offset

1,3

Comments

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

Diagonal of A196578

Links

Table of n, a(n) for n=1..12.

Example

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

Crossrefs

Sequence in context: A203538 A370849 A076029 * A052388 A027651 A125379

Adjacent sequences: A196569 A196570 A196571 * A196573 A196574 A196575

Keyword

nonn

Author

R. H. Hardin, Oct 04 2011

Status

approved