A060955 Highest degree of an irreducible representation of the alternating group A_n of degree n.

1, 1, 1, 3, 5, 10, 35, 70, 216, 567, 2310, 5775, 21450, 69498, 243243, 1153152, 3620864, 16336320, 64664600, 249420600, 997682400, 5462865408, 21422145536

Offset

1,4

Links

Table of n, a(n) for n=1..23.

Prog

(Magma) list:= []; for i in [1..23] do "i = ", i; g:= Alt(i); ct:= CharacterTable(g); "ct =", ct[ #ct][1]; Append(~list, ct[ #ct][1]); end for; - Colva Roney-Dougal (colva(AT)mcs.st-and.ac.uk), Mar 30 2007

Crossrefs

Cf. A003040, A003861-A003868.

Sequence in context: A006826 A000214 A185645 * A358899 A317338 A305510

Adjacent sequences: A060952 A060953 A060954 * A060956 A060957 A060958

Keyword

nonn

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), May 08 2001

Extensions

More terms from Colva Roney-Dougal (colva(AT)mcs.st-and.ac.uk), Mar 30 2007

Status

approved