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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 13 2015
STATUS
approved