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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 26 20:34 EDT 2021. Contains 347672 sequences. (Running on oeis4.)