OFFSET
1,5
COMMENTS
T(n,k) is the cardinality of a maximal antichain in the partially ordered set consisting of all k-tuples of natural numbers (x_1,...,x_k) with 0 < x_1 < ... < x_k < n+2, with the componentwise ordering, (x_1,...,x_k) <= (y_1,...,y_k) if and only if x_1 <= y_1, ..., x_k <= y_k. - Mamuka Jibladze, Nov 15 2020
LINKS
R. H. Hardin, Table of n, a(n) for n=1..363
EXAMPLE
Table starts:
1.1..1..1...1...1...1....1....1....1....1.....1.....1.....1.....1......1
1.2..2..3...3...4...4....5....5....6....6.....7.....7.....8.....8......9
1.2..3..5...6...8..10...13...15...18...21....25....28....32....36.....41
1.3..5..8..12..18..24...33...43...55...69....86...104...126...150....177
1.3..6.12..20..32..49...73..102..141..190...252...325...414...521....649
1.4..8.18..32..58..94..151..227..338..480...676...920..1242..1636...2137
1.4.10.24..49..94.169..289..468..734.1117..1656..2385..3370..4672...6375
1.5.13.33..73.151.289..526..910.1514.2430..3788..5744..8512.12346..17575
1.5.15.43.102.227.468..910.1667.2934.4968..8150.12954.20094.30441..45207
1.6.18.55.141.338.734.1514.2934.5448.9686.16660.27718.44916.70922.109583
All solutions for 3 X 4:
0..0..0..0....0..0..0..0....1..0..0..0....1..0..0..0....1..1..0..0
1..1..1..0....1..1..0..0....1..0..0..0....1..1..0..0....1..1..0..0
1..1..1..0....1..1..1..1....1..1..1..1....1..1..1..0....1..1..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Sep 30 2010
STATUS
approved