login
A294097
Number of partitions of 2n into two parts such that both parts are either squarefree or nonsquarefree.
3
1, 2, 2, 4, 2, 5, 3, 7, 5, 8, 6, 10, 6, 10, 6, 12, 9, 17, 8, 16, 9, 18, 9, 19, 10, 21, 14, 20, 15, 22, 14, 23, 14, 27, 17, 33, 18, 30, 16, 30, 16, 33, 17, 35, 23, 34, 22, 36, 22, 39, 24, 40, 25, 49, 24, 44, 25, 46, 25, 47, 25, 50, 32, 46, 31, 48, 30, 49, 30
OFFSET
1,2
FORMULA
a(n) = Sum_{k=1..n} [A008966(i) = A008966(2n-i)], where [] is the Iverson bracket.
MATHEMATICA
Table[Sum[KroneckerDelta[MoebiusMu[k]^2, MoebiusMu[2 n - k]^2], {k, n}], {n, 80}]
CROSSREFS
Sequence in context: A125296 A366707 A366708 * A233520 A243271 A232245
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, Oct 22 2017
STATUS
approved