|
|
A232376
|
|
T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal
|
|
14
|
|
|
1, 2, 1, 4, 14, 1, 8, 74, 58, 1, 14, 296, 586, 230, 1, 26, 1130, 4404, 4550, 934, 1, 48, 4682, 32722, 63744, 36574, 3794, 1, 88, 19448, 259458, 927706, 957232, 292122, 15354, 1, 162, 79592, 2046700, 14326374, 27133338, 14297980, 2324142, 62266, 1, 298, 326810
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Table starts
.1.......2..........4............8..............14.................26
.1......14.........74..........296............1130...............4682
.1......58........586.........4404...........32722.............259458
.1.....230.......4550........63744..........927706...........14326374
.1.....934......36574.......957232........27133338..........825606450
.1....3794.....292122.....14297980.......789866870........47301712998
.1...15354....2324142....213082596.....22946925502......2706080691402
.1...62266...18574882...3180405572....667514680522....154987416800398
.1..252346..148225606..47457708756..19413840326186...8875595994390694
.1.1022806.1182879814.708101568772.564595278464614.508249649361525870
|
|
LINKS
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 2*a(n-1) +7*a(n-2) +6*a(n-3) -2*a(n-4) -3*a(n-5) +2*a(n-6) +a(n-7)
k=3: [order 15]
k=4: [order 22]
k=5: [order 64]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2) +a(n-3) for n>4
n=2: [order 8] for n>9
n=3: [order 13] for n>14
n=4: [order 60] for n>61
|
|
EXAMPLE
|
Some solutions for n=4 k=4
..0..1..2..1....2..1..2..1....2..3..2..3....2..1..0..3....3..2..0..2
..0..3..0..1....0..3..2..1....1..0..1..0....2..3..0..3....3..1..3..2
..2..1..0..3....2..3..2..1....1..2..3..0....2..3..0..3....2..1..0..1
..3..1..2..3....2..3..2..3....1..2..1..2....0..1..2..1....0..3..2..3
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|