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A244972
Orders of primitive groups not synchronizing a rank 3 map.
0
3, 9, 21, 27, 45, 81, 153, 243, 441, 495, 729
OFFSET
1,1
COMMENTS
Also, orders of graphs with clique number and chromatic number 3 which have primitive automorphism groups.
EXAMPLE
The graphs on 3^n vertices are the Hamming graphs over 3-letter alphabet; the graphs with 21, 45 and 153 vertices are the line graphs of the 6-cage, 8-cage, and Biggs-Smith graph respectively.
CROSSREFS
Sequence in context: A251535 A191177 A275450 * A044055 A029542 A014962
KEYWORD
nonn,hard,more
AUTHOR
Peter J. Cameron, Nov 12 2014
STATUS
approved