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A294233 Number of partitions of n into two parts with smaller part nonsquarefree and larger part squarefree. 1
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 3, 1, 2, 2, 3, 1, 3, 3, 3, 1, 2, 3, 3, 1, 3, 3, 4, 0, 4, 5, 5, 2, 5, 6, 5, 2, 4, 6, 6, 2, 5, 7, 8, 2, 5, 6, 9, 4, 7, 7, 9, 4, 7, 8, 8, 4, 8, 9, 9, 3, 8, 8, 10, 1, 9, 9, 10, 3, 8, 10, 9, 4, 8, 11, 11, 3, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,18

LINKS

Table of n, a(n) for n=1..85.

Index entries for sequences related to partitions

FORMULA

a(n) = Sum_{i=1..floor(n/2)} (1 - mu(i)^2) * mu(n-i)^2, where mu is the Möbius function (A008683).

MATHEMATICA

Table[Sum[(1 - MoebiusMu[k]^2) (MoebiusMu[n - k]^2), {k, Floor[n/2]}], {n, 80}]

CROSSREFS

Cf. A008683, A008966, A294232.

Sequence in context: A194306 A283325 A318438 * A121884 A079087 A324920

Adjacent sequences:  A294230 A294231 A294232 * A294234 A294235 A294236

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified August 2 14:11 EDT 2021. Contains 346424 sequences. (Running on oeis4.)