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A294235
Number of partitions of n into two parts such that the larger part is nonsquarefree.
2
0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 16
OFFSET
1,10
FORMULA
a(n) = Sum_{i=1..floor(n/2)} (1 - mu(n-i)^2), where mu is the Möbius function (A008683).
MATHEMATICA
Table[Sum[(1 - MoebiusMu[n - k]^2), {k, Floor[n/2]}], {n, 80}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, Oct 25 2017
STATUS
approved