A254189 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

512, 2908, 2908, 14096, 20380, 14096, 66144, 142088, 140108, 66144, 299472, 968448, 1465824, 939056, 299472, 1303600, 6170408, 14601048, 13994248, 5818936, 1303600, 5525648, 38010356, 138055264, 199474076, 124599008, 35265504, 5525648

Offset

1,1

Comments

Table starts

.......512........2908.........14096...........66144.............299472

......2908.......20380........142088..........968448............6170408

.....14096......140108.......1465824........14601048..........138055264

.....66144......939056......13994248.......199474076.........2761863976

....299472.....5818936.....124599008......2521994340........50440581336

...1303600....35265504....1106508576.....32048165156.......934751059040

...5525648...211785820....9808618856....406615285408.....17244253826864

..23034276..1260109624...86680216604...5135656451504....316309557137336

..94841688..7470540196..765784579880..64842235013056...5804947465146740

.386810592.44215816908.6764564938736.818830301031628.106550751458655472

Links

R. H. Hardin, Table of n, a(n) for n = 1..261

Formula

Empirical for column k:

k=1: [linear recurrence of order 26]

k=2: [order 51] for n>59

Empirical for row n:

n=1: [same linear recurrence of order 26]

n=2: [order 53] for n>64

Example

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

Crossrefs

Column 1 and row 1 are A253794

Sequence in context: A254586 A254361 A254354 * A253801 A253794 A253961

Adjacent sequences: A254186 A254187 A254188 * A254190 A254191 A254192

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 26 2015

Status

approved