|
|
A224259
|
|
Number of nX5 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing
|
|
1
|
|
|
86, 1600, 12032, 59855, 238366, 816361, 2485967, 6868203, 17467782, 41364960, 92057680, 194025959, 389786452, 750442433, 1391017095, 2492190125, 4330442992, 7319061332, 12062947260, 19430764421, 30648578146, 47419866241, 72077566743
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = (1009/907200)*n^10 + (1489/181440)*n^9 + (6571/60480)*n^8 + (18937/30240)*n^7 + (148447/43200)*n^6 + (74281/8640)*n^5 + (10535767/181440)*n^4 + (1477907/45360)*n^3 + (1282339/25200)*n^2 - (151027/252)*n + 913 for n>4
|
|
EXAMPLE
|
Some solutions for n=3
..0..0..1..1..0....0..1..1..1..1....0..0..0..0..2....1..0..0..0..0
..0..0..1..1..1....1..2..1..1..1....0..0..0..1..2....1..1..0..0..0
..0..1..2..1..1....2..2..2..2..1....0..0..1..2..2....2..1..0..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|