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A233903 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35 (35 maximizes T(1,1)) 7
144, 656, 656, 2688, 2944, 2688, 12288, 12152, 12152, 12288, 51200, 62064, 47232, 62064, 51200, 233984, 278416, 267792, 267792, 278416, 233984, 987136, 1521520, 1194976, 1795420, 1194976, 1521520, 987136, 4503552, 7123728, 8198512, 9063944 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......144........656........2688........12288........51200.......233984
......656.......2944.......12152........62064.......278416......1521520
.....2688......12152.......47232.......267792......1194976......8198512
....12288......62064......267792......1795420......9063944.....78303216
....51200.....278416.....1194976......9063944.....45063232....522622840
...233984....1521520.....8198512.....78303216....522622840...7039959748
...987136....7123728....39075520....418952968...2708218400..48247033760
..4503552...40312912...304813760...4481613904..47900472896.957603465060
.19185664..192972032..1473291680..23800307888.237397419968
.87351296.1110694824.12478506368.300386468800
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 44*a(n-2) -608*a(n-4) +2560*a(n-6)
k=2: [order 26]
k=3: [order 69]
EXAMPLE
Some solutions for n=3 k=4
..3..6..2..6..5....4..3..0..2..5....3..4..2..1..3....3..5..2..4..2
..2..4..5..4..2....0..2..4..3..1....2..6..3..5..4....1..4..6..5..6
..6..3..1..3..0....4..3..0..2..5....5..4..2..1..3....5..3..2..4..2
..2..4..5..4..2....0..2..4..3..1....2..6..3..5..2....1..4..0..1..0
CROSSREFS
Sequence in context: A137885 A204398 A204391 * A233897 A250428 A033696
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 17 2013
STATUS
approved

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Last modified July 24 20:30 EDT 2024. Contains 374585 sequences. (Running on oeis4.)