A281097 - OEIS

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A281097

Number of group homomorphisms S_3 -> S_n, where S_n denotes the symmetric group on n letters.

2

1, 2, 10, 34, 146, 1036, 5692, 36380, 323164, 2394136, 19863416, 210278872, 1937685400

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

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..13.

FORMULA

a(n) = 6*A378279(n) + A000085(n). See A378163 for more information. - Jianing Song, Nov 27 2024

PROG

(GAP) List([1..8], n -> Length(AllHomomorphisms(SymmetricGroup(3), SymmetricGroup(n))));

CROSSREFS

A000085 gives the number of group homomorphisms S_2 -> S_n.

Cf. A378279, A378163.

Sequence in context: A192378 A052965 A108924 * A221492 A356389 A318696

Adjacent sequences: A281094 A281095 A281096 * A281098 A281099 A281100

KEYWORD

nonn,hard,more

AUTHOR

Daniel McLaury, Apr 12 2017

EXTENSIONS

a(8) from Georg Fischer, Jun 16 2022

a(9)-a(13) from Jianing Song, Nov 27 2024

STATUS

approved