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

Author

R. H. Hardin, Jan 26 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

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