A233682 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 6 (6 maximizes T(1,1))

48, 184, 184, 648, 928, 648, 2440, 4448, 4448, 2440, 8712, 23568, 28544, 23568, 8712, 32456, 117744, 216592, 216592, 117744, 32456, 116872, 621904, 1500800, 2442208, 1500800, 621904, 116872, 432456, 3145968, 11482368, 25036784, 25036784

Offset

1,1

Comments

Table starts

......48.......184.........648..........2440............8712.............32456

.....184.......928........4448.........23568..........117744............621904

.....648......4448.......28544........216592.........1500800..........11482368

....2440.....23568......216592.......2442208........25036784.........289389648

....8712....117744.....1500800......25036784.......365293440........6336415296

...32456....621904....11482368.....289389648......6336415296......169016684160

..116872...3145968....81243904....3057995568.....95799636288.....3879764059776

..432456..16510480...617735680...35239626640...1660462199232...103768584198400

.1565704..84078896..4416166400..377551693872..25500227965248..2432577744933760

.5768392.439062352.33345630720.4321333099024.438642994287168.64581965636210432

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +12*a(n-2) -4*a(n-3) -16*a(n-4)

k=2: [order 10]

k=3: [order 17]

k=4: [order 45]

k=5: [order 99]

Example

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

Crossrefs

Sequence in context: A244178 A131683 A066134 * A233675 A005911 A130566

Adjacent sequences: A233679 A233680 A233681 * A233683 A233684 A233685

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2013

Status

approved