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 A219578 T(n,k) is the number of n X k arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X k array. 14
 4, 4, 4, 10, 13, 10, 20, 51, 59, 20, 35, 132, 415, 181, 35, 56, 277, 1866, 2234, 469, 56, 84, 514, 7036, 18564, 10226, 1107, 84, 120, 881, 24679, 140884, 154271, 43194, 2447, 120, 165, 1429, 82431, 1052190, 2399643, 1230906, 175054, 5120, 165, 220, 2225, 262218 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts: ...4.....4......10.......20........35.........56........84........120.......165 ...4....13......51......132.......277........514.......881.......1429......2225 ..10....59.....415.....1866......7036......24679.....82431.....262218....794994 ..20...181....2234....18564....140884....1052190...7579137...51585784.331270888 ..35...469...10226...154271...2399643...37870076.572032559.8149176569 ..56..1107...43194..1230906..40957383.1391739384 ..84..2447..175054..9838834.712907937 .120..5120..681294.77121132 .165.10197.2520724 .220.19415 .286 LINKS R. H. Hardin, Table of n, a(n) for n = 1..71 EXAMPLE Some solutions for n=3 and k=4: ..2..1..1..0....1..0..0..0....1..0..0..0....0..0..0..0....2..2..0..0 ..3..1..0..0....2..1..0..0....0..0..0..0....2..0..0..0....2..1..1..0 ..3..3..1..0....3..3..2..0....3..0..3..1....2..2..2..1....3..3..1..2 CROSSREFS Column 1 and Row 1 are A000292 for n>1. Sequence in context: A220204 A035618 A220931 * A219373 A337132 A151906 Adjacent sequences: A219575 A219576 A219577 * A219579 A219580 A219581 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 23 2012 STATUS approved

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Last modified August 14 23:14 EDT 2024. Contains 375171 sequences. (Running on oeis4.)