A233665 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26 (26 maximizes T(1,1))

208, 1220, 1220, 6656, 8324, 6656, 37544, 56212, 56212, 37544, 208304, 411848, 501200, 411848, 208304, 1166748, 3007000, 5005852, 5005852, 3007000, 1166748, 6498312, 22597004, 50997688, 71366708, 50997688, 22597004, 6498312, 36324956

Offset

1,1

Comments

Table starts

........208........1220..........6656..........37544..........208304

.......1220........8324.........56212.........411848.........3007000

.......6656.......56212........501200........5005852........50997688

......37544......411848.......5005852.......71366708......1053739156

.....208304.....3007000......50997688.....1053739156.....23188813328

....1166748....22597004.....538751292....16463908576....545807710584

....6498312...168812492....5717710176...259162493248..13115038989616

...36324956..1277805668...61553770120..4182001054596.323684938848400

..202569936..9619090052..662422496208.67387441794520

.1131482016.72923111912.7175663136164

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 74]

Example

Some solutions for n=2 k=4
..0..1..4..1..0....1..1..1..1..3....3..4..3..6..5....5..2..2..2..6
..4..1..0..1..4....0..4..0..4..1....3..0..3..2..2....3..5..6..5..6
..0..1..4..1..0....1..4..3..4..5....4..4..3..6..5....0..2..2..2..2

Crossrefs

Sequence in context: A304281 A234549 A234543 * A233659 A230934 A236272

Adjacent sequences: A233662 A233663 A233664 * A233666 A233667 A233668

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2013

Status

approved