OFFSET
1,2
COMMENTS
The maximal sum of entries is just n, and this is achieved by any Abelian group of order n.
A060653(n) <= a(n) <= n.
LINKS
Eric M. Schmidt, Table of n, a(n) for n = 1..1023
Louis Solomon, On the Sum of the Elements in the Character Table of a Finite Group. Proceedings of the American Mathematical Society, Vol. 12, No. 6 (Dec., 1961), pp. 962-963.
EXAMPLE
a(6)=5 because the sum of the entries in the character table of the symmetric group S3 is 5, the minimum for groups of order 6.
PROG
(GAP) A225090 := function(n) local min, i; min := n; for i in [1..NumberSmallGroups(n)] do min := Minimum(min, Sum(Sum(Irr(SmallGroup(n, i))))); od; return min; end;
CROSSREFS
KEYWORD
nonn
AUTHOR
Eric M. Schmidt, Apr 27 2013
STATUS
approved