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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)) 8
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 16 2013
STATUS
approved

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Last modified May 23 16:36 EDT 2024. Contains 372765 sequences. (Running on oeis4.)