A363701 - OEIS

A363701

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

0, 1, 5, 6, 8, 9, 10, 12, 14, 17, 21, 28, 30, 32, 34, 36, 37, 38

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OFFSET

1,3

COMMENTS

This sequence contains A363675 and A363676.

LINKS

PROG

(Sage)

k=39 # Find integer sequence up to this value

S=set()

L=set()

for n in IntegerRange(0, k):

G = SymmetricGroup(n)

C = G.conjugacy_classes()

c = len(C)

N = G.character_table()

for j in IntegerRange(1, c):

if 0 not in N[:, j]:

S.add(n)

break

for n in IntegerRange(0, k):

if n not in S:

L.add(n)

print(L)

CROSSREFS

KEYWORD

nonn,more,hard

AUTHOR

STATUS

approved