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Revision History for A085800

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A085800

Maximal number of zeros in a row of the character table of the symmetric group S_n.
(history; published version)

#7 by N. J. A. Sloane at Fri Jul 17 13:18:15 EDT 2020

STATUS

editing

approved

#6 by N. J. A. Sloane at Fri Jul 17 13:15:40 EDT 2020

EXTENSIONS

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

#5 by N. J. A. Sloane at Fri Jul 17 13:14:46 EDT 2020

DATA

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

STATUS

approved

editing

#4 by Joerg Arndt at Sun Apr 14 12:05:35 EDT 2013

STATUS

editing

approved

#3 by Joerg Arndt at Sun Apr 14 12:05:31 EDT 2013

KEYWORD

nonn,more

STATUS

approved

editing

#2 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

DATA

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

PROG

Contribution from Chris Cummins (cummins(AT)mathstat.concordia.ca), Apr 16 2010: (Start)

(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<max then Print(", "); else Print("\n"); fi;

od; (End)

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms computed using GAP. Chris Cummins (cummins(AT)mathstat.concordia.ca), Apr 16 2010

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

NAME

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

DATA

0, 0, 1, 2, 4, 7, 9, 16

OFFSET

1,4

KEYWORD

nonn

AUTHOR

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

STATUS

approved