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A235261
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise
3
256, 2400, 2400, 22500, 75744, 22500, 162000, 2691067, 2691067, 162000, 1166400, 64470056, 417967682, 64470056, 1166400, 7157160, 1538378437, 41170730836, 41170730836, 1538378437, 7157160, 43917129, 27988093692, 3998547995093
OFFSET
1,1
COMMENTS
Table starts
.....256........2400...........22500..............162000..............1166400
....2400.......75744.........2691067............64470056...........1538378437
...22500.....2691067.......417967682.........41170730836........3998547995093
..162000....64470056.....41170730836......16811907001604.....6760603592133043
.1166400..1538378437...3998547995093....6760603592133043.11272050100248562624
.7157160.27988093692.282203684810984.1943970843613005622
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 40]
EXAMPLE
Some solutions for n=2 k=4
..0..0..2..0..2....0..0..0..1..3....0..0..0..2..2....0..0..2..2..2
..1..0..2..0..3....1..0..1..0..0....0..0..2..0..3....0..0..1..0..3
..1..0..3..2..0....2..0..3..0..0....0..0..3..3..3....1..0..1..0..1
CROSSREFS
Column 1 is A204303
Sequence in context: A205020 A204309 A235416 * A236087 A204303 A236083
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 05 2014
STATUS
approved