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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 January 20 13:25 EST 2022. Contains 350472 sequences. (Running on oeis4.)