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