A256771 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum

352, 1936, 1936, 9152, 14641, 9152, 43264, 81796, 81796, 43264, 189696, 456976, 475904, 456976, 189696, 831744, 2196324, 2768896, 2768896, 2196324, 831744, 3502080, 10556001, 13278720, 16777216, 13278720, 10556001, 3502080, 14745600

Offset

1,1

Comments

Table starts

.......352.......1936........9152........43264.......189696........831744

......1936......14641.......81796.......456976......2196324......10556001

......9152......81796......475904......2768896.....13278720......63680400

.....43264.....456976.....2768896.....16777216.....80281600.....384160000

....189696....2196324....13278720.....80281600....372556800....1728896400

....831744...10556001....63680400....384160000...1728896400....7780827681

...3502080...46785600...277704000...1648360000...7138454400...30914078976

..14745600..207360000..1211040000...7072810000..29474022400..122825015296

..60702720..878529600..5037021600..28879603600.115996965440..465909995776

.249892864.3722098081.20950246564.117920812816.456513732964.1767328289281

Links

R. H. Hardin, Table of n, a(n) for n = 1..336

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 27]

k=3: [order 40]

k=4: [order 47]

k=5: [same order 47]

Example

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

Crossrefs

Sequence in context: A252250 A235888 A256025 * A256764 A255501 A229740

Adjacent sequences: A256768 A256769 A256770 * A256772 A256773 A256774

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 09 2015

Status

approved