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))

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

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

R. H. Hardin, Table of n, a(n) for n = 1..97

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

Adjacent sequences: A233900 A233901 A233902 * A233904 A233905 A233906

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2013

Status

approved