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A091071 Number of normalizers of subgroups of the symmetric group on n points. 0
1, 1, 1, 2, 4, 5, 12, 19, 42, 72, 127, 196, 500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

G. Pfeiffer, Counting Transitive Relations, preprint, 2004.

LINKS

Table of n, a(n) for n=0..12.

G. Pfeiffer, Subgroups.

G. Pfeiffer, Counting Transitive Relations, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.2.

EXAMPLE

a(3)=2 because of the 4 (conjugacy classes of) subgroups of Sym(3) only 2 (Sym(2) and Sym(3)) are normalizers of subgroups.

CROSSREFS

Cf. A000638 (subgroups of Sym(n)), A091070 (stabilizers of partial orders).

Sequence in context: A090847 A056984 A117556 * A050599 A102932 A128457

Adjacent sequences:  A091068 A091069 A091070 * A091072 A091073 A091074

KEYWORD

hard,nonn

AUTHOR

Goetz Pfeiffer (goetz.pfeiffer(AT)nuigalway.ie), Jan 21 2004

STATUS

approved

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Last modified October 21 12:41 EDT 2014. Contains 248377 sequences.