A233653 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14 (14 maximizes T(1,1))

144, 772, 772, 3984, 5232, 3984, 20936, 36784, 36784, 20936, 108864, 272564, 364512, 272564, 108864, 570208, 2012472, 3945444, 3945444, 2012472, 570208, 2971200, 15071680, 42895672, 64384744, 42895672, 15071680, 2971200, 15541312, 112180004

Offset

1,1

Comments

Table starts

.......144.........772..........3984............20936.............108864

.......772........5232.........36784...........272564............2012472

......3984.......36784........364512..........3945444...........42895672

.....20936......272564.......3945444.........64384744.........1066468816

....108864.....2012472......42895672.......1066468816........27145405344

....570208....15071680.....478087900......18298607052.......724755509708

...2971200...112180004....5291663768.....311919115144.....19199171263648

..15541312...840367588...59202020744....5398974995872....519677244552168

..81063040..6267926076..658067704512...92678590515300..13905091332351288

.423704496.46922305260.7360796797308.1605489993650956.377054658397332732

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 38]

Example

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

Crossrefs

Sequence in context: A233897 A250428 A033696 * A233646 A268806 A112067

Adjacent sequences: A233650 A233651 A233652 * A233654 A233655 A233656

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2013

Status

approved