A068384 a(n) is the smallest number m such that any lattice having at least m elements must have a sublattice with exactly n elements.

1, 2, 3, 4, 5, 6, 9, 8

Offset

1,2

Comments

a(9) >= 17. For n >= 10, a(n) >= n + 2. a(n) <= n^(3n) for all n.

References

G. Gratzer, General Lattice Theory. Birkhäuser, Basel, 1998, 2nd edition, p. 72.

Links

Table of n, a(n) for n=1..8.

Crossrefs

Sequence in context: A360413 A270194 A055170 * A222253 A353591 A269838

Adjacent sequences: A068381 A068382 A068383 * A068385 A068386 A068387

Keyword

nonn,hard,more,nice

Author

David Wasserman, Mar 05 2002

Status

approved