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Highest degree of an irreducible representation of the alternating group A_n of degree n.
0

%I #3 Sep 08 2022 08:45:03

%S 1,1,1,3,5,10,35,70,216,567,2310,5775,21450,69498,243243,1153152,

%T 3620864,16336320,64664600,249420600,997682400,5462865408,21422145536

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

%o (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

%Y Cf. A003040, A003861-A003868.

%K nonn

%O 1,4

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

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