|
|
A224021
|
|
Number of nX5 0..3 arrays with rows nondecreasing and antidiagonals unimodal
|
|
1
|
|
|
56, 3136, 122523, 4002738, 120352359, 3491241557, 99853876444, 2841637297963, 80738139650660, 2292943314015674, 65111906248932329, 1848921234461230235, 52501963543862778240, 1490846712885812140128, 42334133889896297673617
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 56*a(n-1) -1098*a(n-2) +10776*a(n-3) -59038*a(n-4) +197135*a(n-5) -527776*a(n-6) +1780117*a(n-7) -5020078*a(n-8) +3603978*a(n-9) -19091082*a(n-10) +61460622*a(n-11) +49090018*a(n-12) +274177128*a(n-13) +105163104*a(n-14) +354022404*a(n-15) +28705280*a(n-16) +147891456*a(n-17) -1275168*a(n-18) +15980544*a(n-19)
|
|
EXAMPLE
|
Some solutions for n=3
..0..2..3..3..3....1..2..2..2..2....2..2..3..3..3....1..2..2..2..3
..0..2..2..3..3....0..0..1..1..2....0..0..0..0..3....0..0..1..2..2
..0..0..1..2..2....0..0..1..3..3....0..0..0..0..2....0..0..1..1..2
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|