A234083 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1))

96, 476, 476, 2352, 2900, 2352, 12152, 18048, 18048, 12152, 63136, 122532, 139512, 122532, 63136, 335536, 849760, 1219868, 1219868, 849760, 335536, 1789760, 6162980, 10952176, 14098264, 10952176, 6162980, 1789760, 9652704, 45072784

Offset

1,1

Comments

Table starts

......96.......476........2352........12152..........63136..........335536

.....476......2900.......18048.......122532.........849760.........6162980

....2352.....18048......139512......1219868.......10952176.......105917092

...12152....122532.....1219868.....14098264......167360104......2200773076

...63136....849760....10952176....167360104.....2595084608.....45902295216

..335536...6162980...105917092...2200773076....45902295216...1118287561704

.1789760..45072784..1033754752..29189609288...812052658856..27031988237608

.9652704.336800596.10502679784.411909391600.15766466760808.737597105103228

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) +22*a(n-2) -56*a(n-3) -120*a(n-4) +32*a(n-5) +64*a(n-6)

k=2: [order 26]

k=3: [order 97]

Example

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

Crossrefs

Sequence in context: A233811 A233717 A233710 * A234076 A337303 A216372

Adjacent sequences: A234080 A234081 A234082 * A234084 A234085 A234086

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2013

Status

approved