A122982 Number of distributive sublattices of the lattice of k-tuples less than the n-th partition (in Mathematica order).

3, 7, 12, 15, 37, 73, 31, 103, 146, 319, 731, 63, 271, 505, 1191, 1833, 4618

Offset: 1

Author

Franklin T. Adams-Watters, Sep 21 2006

Keywords

• more
• nonn

Comments

After a(18) - for partition [1^5] - the sequence continues ?, 127, 687, 1611, 4031, 2102, 8589, ?, ?, ?, ?, ?, 255.

Examples

			For a(5), partition [2,1], the lattice consists of the 6 pairs (i,j) where 0<=i<=2 and 0<=j<=1, with (i,j) <= (i',j') iff i<=i' and j<=j'. {(2,1), (2,0), (0,1), (0,0)} is one distributive sublattice.
		

Crossrefs

Cf. A122978, A122981, A122980, A080577, A074139.