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Number of tolerance simple lattices of order n
0

%I #1 Jun 01 2010 03:00:00

%S 1,1,0,0,1,1,4,14,71,389

%N Number of tolerance simple lattices of order n

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

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

%e 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.

%Y Number of lattices is A006966

%K nonn

%O 1,7

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