cp's OEIS Frontend

A363701 Numbers k with the property that the character table of S_k contains a zero in every nontrivial column.

%I A363701 #34 Nov 17 2024 07:31:37
%S A363701 0,1,5,6,8,9,10,12,14,17,21,28,30,32,34,36,37
%N A363701 Numbers k with the property that the character table of S_k contains a zero in every nontrivial column.
%C A363701 This sequence contains A363675 and A363676.
%o A363701 (Sage)
%o A363701 def zeros(n):
%o A363701     G = SymmetricGroup(n)
%o A363701     N = G.character_table()
%o A363701     for j in range(1,N.ncols()):
%o A363701         if 0 not in N[:,j]:
%o A363701             return False
%o A363701         j+=1
%o A363701     return True
%o A363701 n=1
%o A363701 while n>0:
%o A363701     if zeros(n) == True:
%o A363701         print(n)
%o A363701     n+=1
%Y A363701 Cf. A000217, A010054, A175595, A260682, A363675, A363676.
%K A363701 nonn,more,hard
%O A363701 1,3
%A A363701 _Diego Martin Duro_, Jun 16 2023