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A294101 Number of partitions of n into two parts such that one is squarefree and the other is nonsquarefree. 1
0, 0, 0, 0, 1, 1, 1, 0, 2, 3, 3, 1, 2, 4, 4, 1, 3, 4, 6, 2, 5, 5, 7, 2, 6, 7, 7, 4, 7, 9, 9, 4, 8, 8, 10, 1, 9, 11, 11, 4, 10, 12, 10, 4, 9, 14, 14, 5, 11, 15, 17, 5, 12, 13, 19, 8, 14, 14, 18, 8, 15, 17, 17, 9, 17, 19, 19, 7, 18, 18, 22, 3, 19, 19, 21, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Table of n, a(n) for n=1..76.

Index entries for sequences related to partitions

FORMULA

a(n) = floor(n/2) - Sum_{i=1..floor(n/2)} [A008966(i) = A008966(n-i)], where [] is the Iverson bracket.

MATHEMATICA

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

CROSSREFS

Cf. A008966, A294100.

Sequence in context: A106589 A335490 A334290 * A051911 A106595 A181608

Adjacent sequences:  A294098 A294099 A294100 * A294102 A294103 A294104

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 22 2017

STATUS

approved

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Last modified September 27 10:28 EDT 2021. Contains 347689 sequences. (Running on oeis4.)