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A250707 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction 16
100, 654, 536, 3674, 4958, 2435, 19876, 37892, 30719, 10050, 102963, 253578, 301632, 160486, 38431, 521684, 1578385, 2492054, 2003383, 735523, 138957, 2597784, 9240474, 18235293, 19962956, 11250902, 3020711, 480846, 12791393, 52069631 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......100.......654........3674........19876........102963.........521684
......536......4958.......37892.......253578.......1578385........9240474
.....2435.....30719......301632......2492054......18235293......122690762
....10050....160486.....2003383.....19962956.....171212264.....1307242006
....38431....735523....11250902....133888216....1325146542....11455263558
...138957...3020711....55337801....770143684....8760011881....85271480338
...480846..11354082...242456834...3888150856...50308117796...550734848033
..1607723..39603227...965170215..17539038598..256524870716..3145868632088
..5230029.129764854..3536263608..71841461103.1177985177929.16145490726264
.16642735.403049071.12071431807.270529260362.4941673178715.75408944337595
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 16]
k=2: [order 30]
k=3: [order 43] for n>44
k=4: [order 42] for n>47
k=5: [order 46] for n>57
k=6: [order 48] for n>65
k=7: [order 50] for n>73
Empirical for row n:
n=1: [linear recurrence of order 16]
n=2: [order 29] for n>34
n=3: [order 65] for n>70
n=4: [order 93] for n>100
EXAMPLE
Some solutions for n=2 k=4
..0..0..1..1..2....0..0..1..1..3....0..0..0..1..1....0..0..0..0..0
..1..1..2..2..3....0..0..1..2..2....0..1..0..1..2....0..0..0..0..3
..0..3..2..3..3....0..2..2..2..2....2..0..2..1..2....1..1..3..3..1
CROSSREFS
Sequence in context: A357747 A231759 A231046 * A250708 A235856 A235850
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 26 2014
STATUS
approved

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Last modified July 22 00:08 EDT 2024. Contains 374478 sequences. (Running on oeis4.)