A233818 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1))

96, 428, 428, 1824, 2216, 1824, 8136, 10972, 10972, 8136, 34848, 59164, 61896, 59164, 34848, 155488, 301132, 403108, 403108, 301132, 155488, 667200, 1671748, 2384304, 3261172, 2384304, 1671748, 667200, 2977440, 8669484, 16476460, 23737972

Offset

1,1

Comments

Table starts

.......96........428........1824..........8136..........34848.........155488

......428.......2216.......10972.........59164.........301132........1671748

.....1824......10972.......61896........403108........2384304.......16476460

.....8136......59164......403108.......3261172.......23737972......208935048

....34848.....301132.....2384304......23737972......203778336.....2269466400

...155488....1671748....16476460.....208935048.....2269466400....32723763904

...667200....8669484...100402408....1586833704....20442834720...376273555864

..2977440...49193332...727727388...15004751648...252044188760..6112734012140

.12787200..258472076..4526565112..117407564852..2344074621648.72958370707804

.57068480.1489731188.34009964384.1174169462004.31455090410644

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: a(n) = 30*a(n-2) -220*a(n-4) +240*a(n-6)

k=2: [order 18]

k=3: [order 78]

Example

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

Crossrefs

Sequence in context: A051465 A179825 A304515 * A233811 A233717 A233710

Adjacent sequences: A233815 A233816 A233817 * A233819 A233820 A233821

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2013

Status

approved