A233989 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal

56, 236, 236, 976, 1540, 976, 4064, 9632, 9632, 4064, 16880, 62040, 92320, 62040, 16880, 70176, 393396, 914000, 914000, 393396, 70176, 291648, 2520604, 8950496, 14319916, 8950496, 2520604, 291648, 1212224, 16042420, 88388464, 218943540

Offset

1,1

Comments

Table starts

......56.......236........976.........4064..........16880............70176

.....236......1540.......9632........62040.........393396..........2520604

.....976......9632......92320.......914000........8950496.........88388464

....4064.....62040.....914000.....14319916......218943540.......3423714364

...16880....393396....8950496....218943540.....5240298896.....128552152496

...70176...2520604...88388464...3423714364...128552152496....5022726159372

..291648..16042420..869143232..52813238148..3112596618224..191944315497416

.1212224.102569896.8570819600.823369058112.76199608327632.7487035849093952

Links

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

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +8*a(n-2) +4*a(n-3)

k=2: [order 13]

k=3: [order 25]

k=4: [order 78]

Example

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

Crossrefs

Sequence in context: A325306 A193428 A179757 * A233982 A234769 A234762

Adjacent sequences: A233986 A233987 A233988 * A233990 A233991 A233992

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2013

Status

approved