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 A219595 T(n,k)=Number of nXk 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..2 nXk array 13
 3, 3, 3, 6, 7, 6, 10, 18, 21, 10, 15, 34, 84, 46, 15, 21, 55, 233, 264, 87, 21, 28, 81, 550, 1114, 705, 151, 28, 36, 112, 1188, 4152, 4350, 1739, 247, 36, 45, 148, 2415, 14793, 26006, 16117, 4129, 386, 45, 55, 189, 4684, 51122, 156964, 164075, 60252, 9518, 581 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..3....3.....6......10.......15........21........28........36.........45 ..3....7....18......34.......55........81.......112.......148........189 ..6...21....84.....233......550......1188......2415......4684.......8746 .10...46...264....1114.....4152.....14793.....51122....170728.....550156 .15...87...705....4350....26006....156964....939006...5466749...30837420 .21..151..1739...16117...164075...1767430..18945258.197089634.1981970463 .28..247..4129...60252..1093496..21435360.415752625 .36..386..9518..226309..7362866.259297241 .45..581.21271..831045.47724022 .55..847.46019.2932198 .66.1201.96412 .78.1662 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 EXAMPLE Some solutions for n=3 k=4 ..1..1..0..0....0..0..0..0....0..0..0..0....1..1..0..0....2..1..0..0 ..1..1..1..0....1..0..0..0....1..0..0..0....1..1..1..0....2..1..1..0 ..1..1..0..0....1..2..2..1....1..2..0..0....2..2..0..0....2..1..1..1 CROSSREFS Row and Column 1 are A000217 for n>1 Row 2 is A000566 for n>1 Sequence in context: A166273 A244482 A219299 * A219173 A058675 A025497 Adjacent sequences: A219592 A219593 A219594 * A219596 A219597 A219598 KEYWORD nonn,tabl AUTHOR R. H. Hardin Nov 23 2012 STATUS approved

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Last modified March 4 10:03 EST 2024. Contains 370528 sequences. (Running on oeis4.)