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A294238 Sum of the parts in the partitions of n into two parts with smaller part nonsquarefree. 1
0, 0, 0, 0, 0, 0, 0, 8, 9, 10, 11, 12, 13, 14, 15, 32, 34, 54, 57, 60, 63, 66, 69, 96, 100, 104, 108, 112, 116, 120, 124, 160, 165, 170, 175, 216, 222, 228, 234, 280, 287, 294, 301, 308, 315, 322, 329, 384, 392, 450, 459, 468, 477, 540, 550, 616, 627, 638 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Table of n, a(n) for n=1..58.

Index entries for sequences related to partitions

FORMULA

a(n) = n * Sum_{i=1..n} (1 - mu(i)^2).

MATHEMATICA

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

CROSSREFS

Cf. A008966, A294239.

Sequence in context: A182361 A023391 A115419 * A161639 A250044 A295291

Adjacent sequences:  A294235 A294236 A294237 * A294239 A294240 A294241

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified May 25 19:13 EDT 2019. Contains 323576 sequences. (Running on oeis4.)