A233733 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6 and no adjacent elements equal.

40, 148, 148, 556, 756, 556, 2104, 3972, 3972, 2104, 7976, 21432, 29816, 21432, 7976, 30260, 115972, 233432, 233432, 115972, 30260, 114820, 631628, 1851404, 2723072, 1851404, 631628, 114820, 435720, 3435216, 14802604, 32240288, 32240288

Offset: 1

Author

R. H. Hardin, Dec 15 2013

Keywords

• nonn
• tabl

Comments

Table starts

......40.......148.........556..........2104.............7976

.....148.......756........3972.........21432...........115972

.....556......3972.......29816........233432..........1851404

....2104.....21432......233432.......2723072.........32240288

....7976....115972.....1851404......32240288........578163016

...30260....631628....14802604.....389230764......10577526052

..114820...3435216...118695412....4696134192.....195088215888

..435720..18733728...953471940...57174669348....3616933627344

.1653488.102007004..7663964828..693181060760...67204709367712

.6274804.556289404.61629254552.8455863542400.1250516988640176

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +5*a(n-2) -7*a(n-3) -2*a(n-4)

k=2: [order 12]

k=3: [order 28]

k=4: [order 84]