A254457 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

512, 3036, 3036, 16240, 26380, 16240, 76832, 196684, 196684, 76832, 348032, 1279568, 2085712, 1279568, 348032, 1511152, 8004340, 19716320, 19716320, 8004340, 1511152, 6440848, 48345120, 180449544, 275772848, 180449544, 48345120

Offset: 1

Author

R. H. Hardin, Jan 30 2015

Keywords

• nonn
• tabl

Comments

Table starts

.....512......3036.......16240........76832.........348032..........1511152

....3036.....26380......196684......1279568........8004340.........48345120

...16240....196684.....2085712.....19716320......180449544.......1621936236

...76832...1279568....19716320....275772848.....3694478768......48236381800

..348032...8004340...180449544...3694478768....71814202464....1361600709160

.1511152..48345120..1621936236..48236381800..1361600709160...37859718002056

.6440848.289945200.14531913928.623402653056.25559706957728.1041397026476012

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..219

Crossrefs

Column 1 is A254161

Formula

Empirical for column k:

k=1: [linear recurrence of order 32]

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

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