A159483 Number of tolerance simple lattices of order n.

1, 1, 0, 0, 1, 1, 4, 14, 71, 389

Offset: 1

Author

Tim Boykett (tim(AT)timesup.org), Apr 14 2009

Keywords

• nonn

Comments

Relevant for order polynomial completeness of lattices and tame congruence theory.

Examples

			The unique lattices of order 1 and 2 are tolerance simple. The lattices of order 3 and 4 are not. M_3 is of order 5 and is tolerance simple. M_4 is of order 6 and is tolerance simple. Then it gets complicated.
		

References

• K.Kaarli and A.F.Pixley, Polynomial Completeness in Algebraic Systems, Chapman & Hall/CRC, 2001

Crossrefs

Number of lattices is A006966