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 A220010 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array 14
 4, 4, 4, 10, 7, 10, 20, 19, 20, 20, 35, 43, 109, 58, 35, 56, 85, 479, 560, 141, 56, 84, 154, 1735, 4474, 2410, 308, 84, 120, 263, 5686, 29055, 32959, 9094, 637, 120, 165, 431, 17525, 172143, 381745, 204056, 32575, 1271, 165, 220, 685, 51891, 983187, 4135362 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...4....4......10.......20........35.........56.........84.........120 ...4....7......19.......43........85........154........263.........431 ..10...20.....109......479......1735.......5686......17525.......51891 ..20...58.....560.....4474.....29055.....172143.....983187.....5489377 ..35..141....2410....32959....381745....4135362...44269383...470121602 ..56..308....9094...204056...4176405...83856137.1708594026.34797091227 ..84..637...32575..1209492..45252407.1728522691 .120.1271..114987..7316891.519542824 .165.2460..396917.44430342 .220.4624.1315916 .286.8444 .364 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 EXAMPLE Some solutions for n=3 k=4 ..2..1..1..1....1..1..1..1....2..1..1..1....3..2..0..0....2..1..0..0 ..2..1..1..1....1..1..1..1....2..0..0..1....3..2..0..0....2..0..0..0 ..3..2..1..1....3..3..1..1....0..0..0..1....3..3..3..3....3..0..0..0 CROSSREFS Column and Row 1 are A000292 for n>1 Sequence in context: A219802 A219460 A347433 * A190717 A220204 A035618 Adjacent sequences:  A220007 A220008 A220009 * A220011 A220012 A220013 KEYWORD nonn,tabl AUTHOR R. H. Hardin Dec 03 2012 STATUS approved

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Last modified December 1 13:00 EST 2021. Contains 349429 sequences. (Running on oeis4.)