|
|
A219829
|
|
Number of 2Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 2Xn array
|
|
1
|
|
|
10, 13, 38, 87, 176, 370, 721, 1374, 2533, 4538, 7924, 13507, 22510, 36732, 58771, 92312, 142492, 216355, 323411, 476314, 691675, 991027, 1401960, 1959445, 2707367, 3700288, 5005462, 6705125, 8899084, 11707630, 15274801, 19772022, 25402150
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = (1/40320)*n^8 - (1/3360)*n^7 - (1/2880)*n^6 + (31/240)*n^5 - (7913/5760)*n^4 + (2933/480)*n^3 + (12179/1120)*n^2 - (33527/280)*n + 202 for n>8
|
|
EXAMPLE
|
Some solutions for n=3
..1..2..1....0..0..2....1..1..3....0..0..0....2..2..3....2..2..3....0..0..2
..1..1..1....0..0..2....3..1..3....0..0..0....3..2..3....2..2..3....1..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|