A254168 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 3036, 3036, 16240, 23660, 16240, 76832, 164408, 164684, 76832, 348032, 1078032, 1553720, 1014816, 348032, 1511152, 6831024, 15016048, 13514192, 6159516, 1511152, 6440848, 41678024, 139009432, 191190272, 119471400, 36538548

Offset

1,1

Comments

Table starts

.......512........3036.........16240...........76832.............348032

......3036.......23660........164408.........1078032............6831024

.....16240......164684.......1553720........15016048..........139009432

.....76832.....1014816......13514192.......191190272.........2589374656

....348032.....6159516.....119471400......2437141776........47722312832

...1511152....36538548....1054310240.....31143715804.......886761490936

...6440848...217539476....9378850720....399587109728.....16524431408400

..27128324..1297596948...83642043104...5135066242396....307997125181376

.113712184..7773465716..747838723984..66055387860800...5746900683155904

.475820928.46667868056.6692350328688.850097997207468.107280164731745488

Links

R. H. Hardin, Table of n, a(n) for n = 1..335

Formula

Empirical for column k:

k=1: [linear recurrence of order 32]

k=2: [order 45] for n>53

k=3: [order 66] for n>71

Empirical for row n:

n=1: [same linear recurrence of order 32]

n=2: [order 47] for n>61

n=3: [order 73] for n>90

Example

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

Crossrefs

Sequence in context: A253764 A253757 A250139 * A254457 A254161 A254491

Adjacent sequences: A254165 A254166 A254167 * A254169 A254170 A254171

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 26 2015

Status

approved