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%I #17 Nov 02 2022 07:50:02
%S 1,1,1,1,1,1,3,1,3,3,4,5,1,5,5,8,8,9,10,1,6,10,10,14,14,15,21,35,1,7,
%T 14,20,21,21,21,28,35,45,45,56,64,70,1,8,21,21,27,28,35,35,42,48,56,
%U 84,105,120,162,168,189,216,1,9,35,36,42,75,84,90,126,160,210,224,224,225,252,288,300,315,350,384,384,450,525,567,1,10,44,45,110,120,126,126,132,165,210,231,330,385,462,550,594,594,594,660,693,825,924,990,990,1100,1155,1232,1320,1540,2310
%N Triangle T(n,k) in which n-th row gives degrees of irreducible representations of alternating group A_n.
%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.
%e Triangle begins:
%e 1, 1, 1;
%e 1, 1, 1, 3;
%e 1, 3, 3, 4, 5;
%e 1, 5, 5, 8, 8, 9, 10;
%e ...
%o (Magma) CharacterTable(AlternatingGroup(6)); // (say)
%Y Rows give A003862, A003863, etc. Cf. A060240.
%K nonn,tabf,nice,easy
%O 3,7
%A _N. J. A. Sloane_, Mar 21 2001
%E Characters for A_8 to A_11 from the online Magma calculator. - _R. J. Mathar_, Jun 04 2006
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