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A237035
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum of every 2X2 subblock equal
9
81, 563, 563, 4042, 11205, 4042, 30045, 221994, 221994, 30045, 225731, 4552617, 11703666, 4552617, 225731, 1709398, 93224611, 638436002, 638436002, 93224611, 1709398, 12985257, 1918085364, 34552648978, 93104881597, 34552648978
OFFSET
1,1
COMMENTS
Table starts
.......81.........563............4042..............30045................225731
......563.......11205..........221994............4552617..............93224611
.....4042......221994........11703666..........638436002...........34552648978
....30045.....4552617.......638436002........93104881597........13403891066319
...225731....93224611.....34552648978.....13403891066319......5114994760537075
..1709398..1918085364...1877852845426...1939706609440732...1964124791456164266
.12985257.39451935691.101931021677874.280172591227575985.752460086062505325739
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 9*a(n-1) -83*a(n-3) +15*a(n-4) +60*a(n-5)
k=2: [order 7]
k=3: [order 9]
k=4: [order 15]
k=5: [order 23]
k=6: [order 37]
k=7: [order 59]
EXAMPLE
Some solutions for n=2 k=4
..0..0..0..2..1....0..0..0..1..1....0..0..0..0..2....0..0..0..1..2
..0..2..2..1..2....2..0..2..2..1....2..2..2..1..2....1..2..2..2..2
..0..0..1..1..2....0..2..1..1..1....1..0..0..2..2....0..2..1..1..2
CROSSREFS
Sequence in context: A186133 A209506 A139156 * A237028 A235742 A236082
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 02 2014
STATUS
approved