OFFSET
1,1
COMMENTS
The median of a multiset is either the middle part (for odd length), or the average of the two middle parts (for even length). Since the denominator is always 1 or 2, the median can be represented as an integer by multiplying by 2.
EXAMPLE
The prime factors of 336 are {2,2,2,2,3,7}, with distinct parts {2,3,7}, with median 3, so a(336) = 6.
MATHEMATICA
Table[2*Median[First/@FactorInteger[n]], {n, 100}]
CROSSREFS
Distinct prime factors are listed by A027748.
The version for divisors is A063655.
Positions of odd terms are A100367.
The version for prime indices is A360005.
The version for distinct prime indices is A360457.
The version for prime factors is A360459.
The version for prime multiplicities is A360460.
Positions of even terms are A360552.
The version for 0-prepended differences is A360555.
A304038 lists distinct prime indices.
KEYWORD
nonn
AUTHOR
Gus Wiseman, Feb 14 2023
STATUS
approved