|
|
A223975
|
|
T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal
|
|
12
|
|
|
3, 9, 9, 22, 81, 27, 46, 484, 729, 81, 86, 2116, 9515, 6561, 243, 148, 7396, 76092, 186004, 59049, 729, 239, 21904, 440628, 2558848, 3628696, 531441, 2187, 367, 57121, 2026448, 22935921, 84988435, 70779056, 4782969, 6561, 541, 134689, 7829639
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Table starts
.....3..........9.............22...............46.................86
.....9.........81............484.............2116...............7396
....27........729...........9515............76092.............440628
....81.......6561.........186004..........2558848...........22935921
...243......59049........3628696.........84988435.........1140963027
...729.....531441.......70779056.......2809740785........55803232969
..2187....4782969.....1380511272......92756321858......2708281019793
..6561...43046721....26926081924....3060966419662....131014406127439
.19683..387420489...525177301935..100999995564503...6329626912147424
.59049.3486784401.10243271456697.3332485315028073.305632588672082728
|
|
LINKS
|
|
|
FORMULA
|
Empirical: columns k=1..6 have recurrences of order 1,1,7,18,43,91
Empirical: rows n=1..7 are polynomials of degree 4*n for k>0,0,0,0,2,3,4
|
|
EXAMPLE
|
Some solutions for n=3 k=4
..0..2..0..0....1..2..2..1....2..1..1..0....1..2..2..0....0..0..0..0
..0..1..2..1....0..0..1..1....1..2..2..2....0..2..1..0....0..2..2..0
..0..1..2..2....0..1..0..0....0..1..1..2....1..1..0..0....0..2..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|