|
| |
|
|
A262420
|
|
T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.
|
|
14
|
|
|
|
2, 0, 5, 6, 4, 10, 0, 45, 12, 21, 22, 114, 270, 48, 42, 0, 709, 1260, 1701, 144, 85, 86, 2892, 15310, 18228, 10206, 468, 170, 0, 15293, 124572, 428301, 200880, 61965, 1404, 341, 342, 72370, 1299070, 7577424, 9401742, 2353338, 371790, 4320, 682, 0, 367125
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
....2.....0........6...........0.............22.................0
....5.....4.......45.........114............709..............2892
...10....12......270........1260..........15310............124572
...21....48.....1701.......18228.........428301...........7577424
...42...144....10206......200880........9401742.........326005344
...85...468....61965.....2353338......220808869.......15231780324
..170..1404...371790....25901100.....4856629870......655089996204
..341..4320..2237301...289462380...108673357501....28755516792360
..682.12960.13423806..3184570800..2390753728462..1236553617638640
.1365.39204.80601885.35172555474.52824430238229.53446495303862172
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..240
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3)
k=2: a(n) = 3*a(n-1) +3*a(n-2) -9*a(n-3)
k=3: a(n) = 6*a(n-1) +9*a(n-2) -54*a(n-3)
k=4: [order 7]
k=5: [order 11]
k=6: [order 13]
k=7: [order 19]
Empirical for row n:
n=1: a(n) = 5*a(n-2) -4*a(n-4)
n=2: a(n) = 5*a(n-1) +12*a(n-2) -60*a(n-3) -39*a(n-4) +195*a(n-5) +28*a(n-6) -140*a(n-7)
n=3: [order 9]
n=4: [order 11]
n=5: [order 11]
n=6: [order 17]
n=7: [order 21]
|
|
|
EXAMPLE
|
Some solutions for n=4 k=4
..1..1..0..1..1....1..1..1..1..0....0..0..1..1..0....1..1..0..0..0
..1..1..0..1..1....0..0..1..1..0....1..0..0..1..0....1..0..0..1..0
..1..0..1..0..1....1..1..1..1..0....1..1..1..1..0....0..0..1..1..0
..1..1..1..1..0....1..1..0..0..0....1..0..1..0..1....1..1..0..1..1
..1..0..1..0..1....1..0..1..0..1....0..0..0..0..0....0..1..1..0..0
|
|
|
CROSSREFS
|
Column 1 is A000975(n+1).
Row 1 is A047849((n+1)/2) for odd n.
Sequence in context: A068558 A245058 A240657 * A240662 A188724 A082832
Adjacent sequences: A262417 A262418 A262419 * A262421 A262422 A262423
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
R. H. Hardin, Sep 22 2015
|
|
|
STATUS
|
approved
|
| |
|
|
