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.

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

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