A233958 T(n,k)=Number of (n+1)X(k+1) 0..5 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

80, 380, 380, 1776, 2820, 1776, 8336, 20616, 20616, 8336, 39084, 152216, 238800, 152216, 39084, 183304, 1120996, 2805732, 2805732, 1120996, 183304, 859628, 8268188, 32938264, 52918992, 32938264, 8268188, 859628, 4031428, 60946532

Offset

1,1

Comments

Table starts

.......80.........380..........1776.............8336..............39084

......380........2820.........20616...........152216............1120996

.....1776.......20616........238800..........2805732...........32938264

.....8336......152216.......2805732.........52918992..........998464148

....39084.....1120996......32938264........998464148........30386593584

...183304.....8268188.....387379488......18908052288.......929465951096

...859628....60946532....4554084512.....357835576968.....28436177941324

..4031428...449407260...53556471248....6778283795436....870959320798912

.18906220..3313237900..629746787804..128347877009696..26671998316679332

.88664800.24429430652.7405534639216.2431104574304708.817067896999830408

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) +5*a(n-2) -7*a(n-3) -6*a(n-4)

k=2: [order 19]

k=3: [order 45]

Example

Some solutions for n=2 k=4
..4..5..4..2..4....3..4..3..2..3....0..2..3..2..3....3..1..3..5..3
..2..3..2..3..5....1..3..5..4..5....2..3..1..0..2....1..0..2..3..2
..3..1..0..2..4....3..2..4..2..3....3..1..0..2..1....3..2..3..1..0

Crossrefs

Sequence in context: A204483 A204475 A157953 * A233951 A045666 A045657

Adjacent sequences: A233955 A233956 A233957 * A233959 A233960 A233961

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2013

Status

approved