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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)) 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 18 00:09 EDT 2019. Contains 328135 sequences. (Running on oeis4.)