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A132221

Number of imprimitive transitive permutation groups of degree n.

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

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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.

LINKS

Table of n, a(n) for n=1..47.

FORMULA

a(n) = A002106(n) - A000019(n).

CROSSREFS

Cf. A000019, A002106.

Sequence in context: A249775 A019264 A028851 * A140093 A385242 A194093

Adjacent sequences: A132218 A132219 A132220 * A132222 A132223 A132224

KEYWORD

nonn,hard,more

AUTHOR

Artur Jasinski, Aug 14 2007

EXTENSIONS

More terms from Vaclav Kotesovec, Jul 18 2022

STATUS

approved

URL: https://oeis.org/A132221

⇱ A132221 - OEIS