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Sum of degrees of irreducible representations of alternating group A_n.
(Formerly M2592)
2

%I M2592 #15 Jun 14 2024 22:31:09

%S 1,1,3,6,16,46,126,448,1366,5356,18568,76296,297012,1264264,5412928,

%T 23928024,110468806,509578384,2495966844,12051904744,61878848596,

%U 312943394336,1670571625528,8836179426416,48794206157176,269194017597376,1533137311902576

%N Sum of 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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Eric M. Schmidt, <a href="/A007002/b007002.txt">Table of n, a(n) for n = 1..35</a>

%o (GAP) A007002 := n -> Sum(List(Irr(CharacterTable("Alternating", n)), chi->chi[1])); # _Eric M. Schmidt_, Apr 12 2013

%K nonn

%O 1,3

%A _N. J. A. Sloane_.

%E Corrected and extended by _Eric M. Schmidt_, Apr 12 2013