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A302604 Number of partitions of n into two parts such that the positive difference of the parts is squarefree. 2
0, 0, 1, 1, 2, 1, 3, 2, 4, 2, 4, 3, 5, 3, 6, 4, 7, 4, 8, 4, 9, 4, 10, 5, 11, 5, 11, 6, 11, 6, 12, 7, 13, 7, 14, 8, 15, 8, 16, 9, 17, 9, 18, 10, 19, 10, 19, 11, 20, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 12, 25, 12, 26, 13, 26, 13, 27, 14, 28, 14, 29, 15, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..73.

Index entries for sequences related to partitions

FORMULA

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

MATHEMATICA

Table[Sum[(MoebiusMu[(n - 2 i)]^2), {i, Floor[(n-1)/2]}], {n, 100}]

CROSSREFS

Cf. A008683, A302642, A302643.

Sequence in context: A286585 A028914 A204539 * A214270 A289440 A290636

Adjacent sequences:  A302601 A302602 A302603 * A302605 A302606 A302607

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Apr 10 2018

STATUS

approved

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Last modified September 25 10:01 EDT 2020. Contains 337337 sequences. (Running on oeis4.)