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A253731
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally and vertically
6
81, 518, 518, 3550, 6530, 3550, 23524, 83884, 83884, 23524, 157476, 1076964, 2240030, 1076964, 157476, 1051870, 13552198, 57696638, 57696638, 13552198, 1051870, 7027770, 172901292, 1480378584, 3121388776, 1480378584, 172901292
OFFSET
1,1
COMMENTS
Table starts
.......81.........518...........3550.............23524...............157476
......518........6530..........83884...........1076964.............13552198
.....3550.......83884........2240030..........57696638...........1480378584
....23524.....1076964.......57696638........3121388776.........161854461064
...157476....13552198.....1480378584......161854461064.......17538826483048
..1051870...172901292....37974926408.....8663276276434.....1912144574026028
..7027770..2184376310...973419692344...450354383773758...208389227577404922
.46953514.27787898426.24954361428316.24027672779181962.22725952700566314488
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 10] for n>11
k=2: [order 44] for n>46
EXAMPLE
Some solutions for n=2 k=4
..0..1..0..0..1....0..1..0..0..2....0..2..0..1..2....0..2..0..1..0
..1..2..0..2..0....2..1..1..0..0....2..1..0..1..0....1..1..2..0..2
..1..0..0..0..2....2..2..0..1..1....2..0..2..0..0....1..2..1..1..2
CROSSREFS
Column 1 is A253307
Sequence in context: A236645 A253314 A253662 * A236658 A236641 A253307
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 10 2015
STATUS
approved