A253801 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically

512, 2908, 2908, 14096, 22284, 14096, 66144, 162604, 162604, 66144, 299472, 1143216, 1876256, 1143216, 299472, 1303600, 7346584, 19600428, 19600428, 7346584, 1303600, 5525648, 45394736, 185592928, 300044272, 185592928, 45394736

Offset

1,1

Comments

Table starts

.....512......2908.......14096........66144.........299472..........1303600

....2908.....22284......162604......1143216........7346584.........45394736

...14096....162604.....1876256.....19600428......185592928.......1701188284

...66144...1143216....19600428....300044272.....4147335800......55154148308

..299472...7346584...185592928...4147335800....83428823136....1622625002976

.1303600..45394736..1701188284..55154148308..1622625002976...46476504760232

.5525648.275822532.15314952024.715315448772.30656386352160.1288757443440100

Links

R. H. Hardin, Table of n, a(n) for n = 1..178

Formula

Empirical for column k:

k=1: [linear recurrence of order 26]

k=2: [order 53] for n>65

Example

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

Crossrefs

Sequence in context: A254361 A254354 A254189 * A253794 A253961 A253764

Adjacent sequences: A253798 A253799 A253800 * A253802 A253803 A253804

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 13 2015

Status

approved