OFFSET
1,5
COMMENTS
Moebius transform of A027193.
FORMULA
a(n) = Sum_{d|n} mu(n/d) * A027193(d).
EXAMPLE
a(6) = 3 because we have [4, 1, 1], [3, 2, 1] and [2, 1, 1, 1, 1].
MATHEMATICA
Table[Sum[MoebiusMu[n/d] Length@Select[IntegerPartitions[d], OddQ[Length@#] &], {d, Divisors[n]}], {n, 1, 50}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 02 2020
STATUS
approved