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A265928 T(n,k)=Number of nXk 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique. 15
5, 25, 25, 92, 340, 125, 340, 1740, 4616, 625, 1252, 9016, 17936, 62696, 3125, 4616, 44916, 72772, 174000, 851496, 15625, 17012, 223788, 273616, 542940, 1671744, 11564952, 78125, 62696, 1119424, 1042020, 1546496, 4044156, 15962560, 157071768 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......5...........25...........92.........340........1252........4616

......25..........340.........1740........9016.......44916......223788

.....125.........4616........17936.......72772......273616.....1042020

.....625........62696.......174000......542940.....1546496.....4697060

....3125.......851496......1671744.....4044156.....8821464....22093736

...15625.....11564952.....15962560....30029860....51986544...112139348

...78125....157071768....152267520...225444912...309447168...579039920

..390625...2133318088...1451371264..1691502456..1904101280..3147755448

.1953125..28974227016..13834836992.12779302796.11662822720.16695518060

.9765625.393521606584.131883277312.96726712256.73936333840.93517706688

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-1)

k=2: [order 8]

k=3: [order 10] for n>13

k=4: [order 28] for n>32

k=5: [order 31] for n>39

k=6: [order 42] for n>50

k=7: [order 48] for n>55

Empirical for row n:

n=1: [linear recurrence of order 8] for n>9

n=2: [order 55] for n>59

EXAMPLE

Some solutions for n=3 k=4

..2..0..0..1....1..1..3..0....1..0..3..2....0..1..1..4....3..4..1..0

..4..4..1..0....2..4..4..1....4..3..0..1....3..0..0..2....0..1..3..3

..3..3..0..1....0..3..1..0....1..0..3..4....4..1..1..4....4..4..1..0

CROSSREFS

Column 1 is A000351.

Sequence in context: A271379 A192493 A265973 * A039936 A124398 A121003

Adjacent sequences:  A265925 A265926 A265927 * A265929 A265930 A265931

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 18 2015

STATUS

approved

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Last modified April 1 14:52 EDT 2020. Contains 333163 sequences. (Running on oeis4.)