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A236427
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise
4
81, 487, 487, 2581, 5772, 2581, 12373, 60193, 60193, 12373, 55929, 544380, 1290539, 544380, 55929, 241933, 4505522, 24143945, 24143945, 4505522, 241933, 1015889, 34394854, 414682711, 987221751, 414682711, 34394854, 1015889, 4174941
OFFSET
1,1
COMMENTS
Table starts
.......81........487........2581.........12373.........55929..........241933
......487.......5772.......60193........544380.......4505522........34394854
.....2581......60193.....1290539......24143945.....414682711......6480932348
....12373.....544380....24143945.....987221751...38520605664...1385464957395
....55929....4505522...414682711...38520605664.3626310504837.323039228052666
...241933...34394854..6480932348.1385464957395
..1015889..247470127.94263772244
..4174941.1692391516
.16895401
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 16]
EXAMPLE
Some solutions for n=2 k=4
..0..1..1..2..0....0..1..2..0..2....0..0..0..0..0....0..1..1..0..0
..1..2..0..0..0....0..1..0..1..0....1..1..1..0..2....1..0..2..1..0
..2..0..1..2..2....1..1..2..1..0....0..1..1..2..2....2..1..1..2..2
CROSSREFS
Column 1 is A235838
Sequence in context: A236646 A205246 A205239 * A235842 A235838 A304617
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 25 2014
STATUS
approved