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

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

R. H. Hardin, Table of n, a(n) for n = 1..50

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

Adjacent sequences: A236424 A236425 A236426 * A236428 A236429 A236430

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 25 2014

Status

approved