A085800 Maximal number of zeros in a row of the character table of the symmetric group S_n.

0, 0, 1, 2, 4, 7, 9, 16, 19, 34, 39, 55, 75, 113, 153, 199, 245, 318, 426, 499, 733, 866, 1110, 1347, 1794, 2099, 2667, 3559, 4087, 5219

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 24 2003

Keywords

• nonn
• more

Programs

GAP

max:=25;
for n in [1..max] do
ir:=Irr(CharacterTable(SymmetricGroup(n)));
Print(Maximum(List(ir,m->Length(Filtered(List(m,IsZero),k->k=true)))));
if n
				

Extensions

a(9)-a(25) from Chris Cummins (cummins(AT)mathstat.concordia.ca), Apr 16 2010

a(26)-a(30) from Alexander R. Miller, Jul 16 2020