A237035 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum of every 2X2 subblock equal

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

R. H. Hardin, Table of n, a(n) for n = 1..544

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

Adjacent sequences: A237032 A237033 A237034 * A237036 A237037 A237038

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 02 2014

Status

approved