|
|
A223737
|
|
Number of nX3 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal
|
|
1
|
|
|
22, 484, 5600, 42090, 237088, 1082738, 4207089, 14362171, 44066468, 123591226, 321014080, 780210492, 1789329904, 3899021174, 8119048135, 16234703963, 31301451138, 58398476624, 105750499888, 186363500950, 320365509352
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = (5051/239500800)*n^12 + (9539/39916800)*n^11 + (75941/21772800)*n^10 + (79/3840)*n^9 + (160763/1036800)*n^8 + (647089/1209600)*n^7 + (42743903/21772800)*n^6 + (1895941/725760)*n^5 + (37871509/5443200)*n^4 + (109751/43200)*n^3 + (125047/14850)*n^2 - (14101/1155)*n + 11
|
|
EXAMPLE
|
Some solutions for n=3
..1..0..0....2..1..1....1..0..0....2..2..0....0..2..0....0..1..2....1..1..0
..1..0..0....2..2..0....0..1..1....0..2..2....0..2..2....0..1..0....0..0..0
..1..1..0....2..0..0....0..0..0....0..0..0....2..1..0....0..0..0....0..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|