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 A219852 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array 14
 3, 3, 6, 6, 7, 10, 10, 17, 16, 15, 15, 33, 65, 33, 21, 21, 56, 218, 225, 62, 28, 28, 86, 591, 1302, 669, 108, 36, 36, 125, 1437, 5950, 6367, 1815, 177, 45, 45, 173, 3195, 23946, 48677, 28116, 4617, 276, 55, 55, 230, 6668, 88110, 328442, 356688, 116212, 11125 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..3....3......6.......10.........15..........21...........28...........36 ..6....7.....17.......33.........56..........86..........125..........173 .10...16.....65......218........591........1437.........3195.........6668 .15...33....225.....1302.......5950.......23946........88110.......303739 .21...62....669.....6367......48677......328442......2061724.....12323578 .28..108...1815....28116.....356688.....4032388.....43528933....457223032 .36..177...4617...116212....2458431....47321720....902318235..17136806921 .45..276..11125...452177...16110182...539690445..18538578004.645090935308 .55..413..25523..1661479..100697878..5969586828.371652215049 .66..597..55964..5791018..602555826.63786858888 .78..838.117681.19242699.3462463890 .91.1147.238066.61244524 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 EXAMPLE Some solutions for n=3 k=4 ..1..0..0..0....0..0..0..0....1..1..1..1....1..1..0..0....1..0..0..0 ..0..0..0..2....0..0..0..1....1..1..1..1....0..0..0..0....1..0..0..0 ..0..2..0..0....1..1..1..2....1..1..1..1....0..0..1..2....2..0..0..1 CROSSREFS Column 1 is A000217(n+1) Row 1 is A000217 for n>1 Sequence in context: A257537 A219883 A219381 * A023842 A165885 A227128 Adjacent sequences:  A219849 A219850 A219851 * A219853 A219854 A219855 KEYWORD nonn,tabl AUTHOR R. H. Hardin Nov 29 2012 STATUS approved

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Last modified March 30 11:00 EDT 2020. Contains 333125 sequences. (Running on oeis4.)