A250841 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference

55, 333, 333, 2011, 4131, 2011, 12145, 51105, 51105, 12145, 73351, 633207, 1301955, 633207, 73351, 443013, 7847629, 33244665, 33244665, 7847629, 443013, 2675635, 97259475, 849027611, 1751284191, 849027611, 97259475, 2675635, 16159849

Offset

1,1

Comments

Table starts

.......55.........333...........2011.............12145................73351

......333........4131..........51105............633207..............7847629

.....2011.......51105........1301955..........33244665............849027611

....12145......633207.......33244665........1751284191..........92293013405

....73351.....7847629......849027611.......92293013405.......10042099602523

...443013....97259475....21682326473.....4864186536955.....1092895108140297

..2675635..1205380713...553718971855...256366497513917...118947843549835731

.16159849.14938857383.14140848207813.13511888452284935.12946172695613903161

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -13*a(n-2) +8*a(n-3) -6*a(n-4)

k=2: [order 10]

k=3: [order 25]

k=4: [order 70]

Example

Some solutions for n=2 k=4
..0..0..2..1..0....0..0..1..1..1....1..0..0..2..2....2..1..0..1..2
..0..1..2..1..0....0..0..2..0..0....0..0..1..1..0....0..0..0..2..1
..0..2..1..0..2....1..2..0..1..2....0..1..1..0..1....0..0..1..2..1

Crossrefs

Sequence in context: A250092 A330382 A140197 * A250834 A020280 A063653

Adjacent sequences: A250838 A250839 A250840 * A250842 A250843 A250844

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 27 2014

Status

approved