OFFSET
0
COMMENTS
Does this sequence contain only finitely many 1's (cf. A336867)?
A number has distinct prime multiplicities iff its prime signature is strict.
FORMULA
a(n) = 1 if n = 0, 1, 2, 4, 6, or 10 and a(n) = 0 otherwise (see A336867). - Chai Wah Wu, Aug 11 2020
MATHEMATICA
Table[Boole[UnsameQ@@Last/@FactorInteger[n!]], {n, 0, 100}]
CROSSREFS
A336499 has a(n) as the final term in row n.
A336867 gives positions of zeros.
A130091 lists numbers with distinct prime multiplicities.
A181796 counts divisors with distinct prime multiplicities.
A327498 gives the maximum divisor of n with distinct prime multiplicities.
A336414 counts divisors of n! with distinct prime multiplicities.
A336415 counts divisors of n! with equal prime multiplicities.
A336866 counts partitions without distinct multiplicities.
KEYWORD
nonn
AUTHOR
Gus Wiseman, Aug 07 2020
STATUS
approved