|
%I #45 Oct 18 2023 09:06:35
%S 0,1,2,5,6,8,10,12,17,21,30,36,57,66,80,105,120,122,136,190,192,210,
%T 212,233,276,302,325,380,408,465,496,530,561,597,630,632,666,705,741,
%U 780,782,822,905,990,992,1081,1130,1176,1225,1433,1540,1542,1596,1772
%N Numbers k such that the least common multiple of the degrees of the irreducible characters of A_k equals |A_k| = k!/2.
%C Intersection of the sequences of numbers k such that there exists a 2-core partition of k or k-2 and a 3-core partition of k. This sequence contains A363675.
%H Diego Martin Duro, <a href="https://arxiv.org/abs/2306.12408">Arithmetic Properties of Character Degrees and the Generalised Knutson Index</a>, arXiv:2306.12408 [math.RT], 2023.
%e The degrees of the irreducible characters of A_5 are 1,3,3,4,5 so their least common multiple is 5!/2 = 60, so 5 is a term of the sequence.
%Y Cf. A000217, A010054, A175595, A260682, A267137, A363675, A363701.
%K nonn
%O 1,3
%A _Diego Martin Duro_, Jun 14 2023
%E More terms from _Alois P. Heinz_, Jun 16 2023
|
