|
|
A238929
|
|
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors
|
|
12
|
|
|
12, 116, 36, 782, 864, 144, 5008, 13090, 13456, 540, 34302, 191086, 611524, 176224, 2052, 238418, 3025468, 25080064, 22636472, 2391340, 7776, 1646042, 48511734, 1176627204, 2531484558, 873385842, 32225410, 29484, 11326068, 773430790
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Table starts
.....12........116............782...............5008..................34302
.....36........864..........13090.............191086................3025468
....144......13456.........611524...........25080064.............1176627204
....540.....176224.......22636472.........2531484558...........330899764092
...2052....2391340......873385842.......265992385206.........98434762200590
...7776...32225410....33476445936.....27816714540010......29028870095730324
..29484..434883190..1285018853980...2912187511240098....8576772023696061986
.111780.5866480970.49292627209040.304661966072695432.2532114793289297959122
|
|
LINKS
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = 3*a(n-1) +3*a(n-2)
k=2: [order 29]
Empirical for row n:
n=1: [linear recurrence of order 18]
|
|
EXAMPLE
|
Some solutions for n=2 k=4
..1..2..2..2..1....0..0..1..1..0....0..0..0..3..3....0..0..2..3..3
..3..3..1..0..0....2..2..2..3..3....1..1..2..2..1....2..2..0..0..0
..1..2..2..3..3....0..1..1..0..0....0..3..3..3..0....0..1..3..3..2
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|