|
| |
|
|
A252065
|
|
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4
|
|
9
|
|
|
|
125, 200, 200, 383, 346, 383, 843, 817, 817, 843, 1948, 2081, 2349, 2081, 1948, 4569, 5610, 7463, 7463, 5610, 4569, 10836, 15593, 25220, 30182, 25220, 15593, 10836, 25739, 43618, 86642, 126936, 126936, 86642, 43618, 25739, 61193, 122839, 299027
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
....125....200......383.......843.......1948........4569........10836
....200....346......817......2081.......5610.......15593........43618
....383....817.....2349......7463......25220.......86642.......299027
....843...2081.....7463.....30182.....126936......539063......2292363
...1948...5610....25220....126936.....664938.....3510697.....18508976
...4569..15593....86642....539063....3510697....23078709....151165482
..10836..43618...299027...2292363...18508976...151165482...1229012088
..25739.122839..1035506...9773184...97654871...990282975...9989905340
..61193.347075..3595103..41735229..516198206..6500999078..81383095801
.145794.981466.12486601.178241990.2730269271.42695261900.663247905243
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical for column k:
k=1: [linear recurrence of order 23] for n>24
k=2: [order 30] for n>32
k=3: [order 41] for n>46
k=4: [order 59] for n>63
k=5: [order 98] for n>103
|
|
|
EXAMPLE
|
Some solutions for n=4 k=4
..2..2..2..2..2..1....2..2..2..2..2..2....2..2..2..2..2..2....0..2..1..2..2..2
..1..2..2..2..2..2....2..1..2..2..2..1....2..2..2..2..2..2....2..1..2..2..1..2
..2..2..1..2..2..2....2..2..2..1..2..2....2..2..2..2..2..1....1..2..2..2..2..2
..2..2..2..2..1..2....2..2..2..2..2..2....1..2..2..2..2..2....2..2..2..2..2..2
..2..1..2..2..2..2....1..2..2..2..1..2....2..1..2..2..2..2....2..2..2..2..2..1
..2..2..2..1..2..2....2..2..2..2..2..2....2..2..1..2..2..1....2..1..2..2..1..2
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
