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

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

R. H. Hardin, Table of n, a(n) for n = 1..97

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

Adjacent sequences: A253728 A253729 A253730 * A253732 A253733 A253734

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2015

Status

approved