A363701 - OEIS

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A363701

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

0, 1, 5, 6, 8, 9, 10, 12, 14, 17, 21, 28, 30, 32, 34, 36, 37

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

This sequence contains A363675 and A363676.

LINKS

Table of n, a(n) for n=1..17.

PROG

(Sage)

def zeros(n):

G = SymmetricGroup(n)

N = G.character_table()

for j in range(1, N.ncols()):

if 0 not in N[:, j]:

return False

j+=1

return True

n=1

while n>0:

if zeros(n) == True:

print(n)

n+=1

CROSSREFS

Cf. A000217, A010054, A175595, A260682, A363675, A363676.

Sequence in context: A057854 A033266 A355641 * A353193 A102408 A240564

Adjacent sequences: A363698 A363699 A363700 * A363702 A363703 A363704

KEYWORD

nonn,more,hard

AUTHOR

Diego Martin Duro, Jun 16 2023

STATUS

approved