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A132221
Number of imprimitive transitive permutation groups of degree n.
0
0, 0, 0, 3, 0, 12, 0, 43, 23, 36, 0, 295, 0, 59, 98, 1932, 0, 979, 0, 1113, 155, 55, 0, 24995, 183, 89, 2377, 1840, 0, 5708, 0, 2801317, 158, 113, 401, 121257, 0, 72, 304, 315834, 0, 9487, 0, 2109, 10914, 54, 0
OFFSET
1,4
COMMENTS
Smallest degree of an imprimitive group is 4. The groups of degree 4 are C_4, V_4, D_4.
Imprimitive groups do not exist with prime degrees.
FORMULA
a(n) = A002106(n) - A000019(n).
CROSSREFS
Sequence in context: A249775 A019264 A028851 * A140093 A194093 A055314
KEYWORD
nonn,hard,more
AUTHOR
Artur Jasinski, Aug 14 2007
EXTENSIONS
More terms from Vaclav Kotesovec, Jul 18 2022
STATUS
approved