A233859 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 59 (59 maximizes T(1,1))

216, 1040, 1040, 4640, 4824, 4640, 22592, 22472, 22472, 22592, 104576, 129728, 106304, 129728, 104576, 511232, 699984, 716800, 716800, 699984, 511232, 2416128, 4332592, 4319616, 5783176, 4319616, 4332592, 2416128, 11843584, 24793848

Offset

1,1

Comments

Table starts

.......216.......1040.........4640........22592.......104576.......511232

......1040.......4824........22472.......129728.......699984......4332592

......4640......22472.......106304.......716800......4319616.....34000600

.....22592.....129728.......716800......5783176.....41245344....408524804

....104576.....699984......4319616.....41245344....337818824...4191443728

....511232....4332592.....34000600....408524804...4191443728..63517858688

...2416128...24793848....226756256...3305571808..40029477624.748312618740

..11843584..156146264...1873475872..36165120612.580040050696

..56662016..917982376..13046763360.311162540132

.278233088.5792726088.108927798728

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 68]

Example

Some solutions for n=3 k=4
..0..4..1..4..5....4..1..2..1..4....4..5..2..5..2....4..6..1..6..6
..5..2..6..2..0....6..2..6..2..6....4..0..4..0..4....1..2..2..2..7
..0..4..1..4..5....6..7..4..1..2....5..2..5..4..5....2..6..1..6..4
..5..2..6..2..0....2..6..2..6..2....0..4..0..4..0....1..2..2..2..1

Crossrefs

Sequence in context: A124581 A177493 A162142 * A233853 A245993 A233980

Adjacent sequences: A233856 A233857 A233858 * A233860 A233861 A233862

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2013

Status

approved