A233792 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1))

48, 188, 188, 720, 864, 720, 2856, 3932, 3932, 2856, 11040, 19396, 20816, 19396, 11040, 43888, 93100, 125976, 125976, 93100, 43888, 169920, 479628, 716768, 966892, 716768, 479628, 169920, 675744, 2368972, 4674280, 6892448, 6892448, 4674280

Offset

1,1

Comments

Table starts

.......48.......188........720.........2856.........11040...........43888

......188.......864.......3932........19396.........93100..........479628

......720......3932......20816.......125976........716768.........4674280

.....2856.....19396.....125976.......966892.......6892448........58623880

....11040.....93100.....716768......6892448......58298272.......635439176

....43888....479628....4674280.....58623880.....635439176......9169500236

...169920...2368972...27765752....443965172....5726453720....106891645888

...675744..12497004..190316292...4064000052...69211180340...1738779775140

..2616960..62641260.1159969064..31925115348..649660154664..21208274486100

.10407872.334456748.8197609072.306087278904.8455130486096.376882661513356

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 18*a(n-2) -40*a(n-4)

k=2: [order 11]

k=3: [order 34]

Example

Some solutions for n=3 k=4
..2..1..2..3..1....1..0..2..3..3....2..1..1..2..1....0..2..2..0..2
..1..3..1..3..2....2..2..1..1..2....0..2..3..3..1....0..1..0..1..0
..2..1..2..3..1....1..0..2..3..1....0..1..1..2..1....2..0..2..2..2
..1..3..3..1..2....2..0..1..3..2....2..2..3..3..1....1..0..1..0..1

Crossrefs

Sequence in context: A233675 A005911 A130566 * A233967 A233785 A233960

Adjacent sequences: A233789 A233790 A233791 * A233793 A233794 A233795

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 15 2013

Status

approved