A075094 - OEIS

A075094

Triangle of the sorted orders of graph automorphism groups for the simple graphs.

1, 2, 2, 2, 2, 6, 6, 2, 2, 2, 4, 4, 6, 6, 8, 8, 24, 24, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 24, 24, 120, 120, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

For n>1 row n ends with n!,n! since the automorphism group of the empty graph and the complete graph is the symmetric group. - Geoffrey Critzer, Aug 09 2016

LINKS

Table of n, a(n) for n=1..95.

Eric Weisstein's World of Mathematics, Graph Automorphism

EXAMPLE

From Geoffrey Critzer, Aug 09 2016: (Start)

Triangle begins:

2, 2;

2, 2, 6, 6;

2, 2, 2, 4, 4, 6, 6, 8, 8, 24, 24;

... (End)

MATHEMATICA

a = {1, 2, 4, 11, 34, 156, 1044};