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A159483 Number of tolerance simple lattices of order n 0
1, 1, 0, 0, 1, 1, 4, 14, 71, 389 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

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

REFERENCES

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

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

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.

CROSSREFS

Number of lattices is A006966

Sequence in context: A321273 A322700 A167144 * A088127 A242739 A007282

Adjacent sequences:  A159480 A159481 A159482 * A159484 A159485 A159486

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified January 24 01:05 EST 2020. Contains 331178 sequences. (Running on oeis4.)