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A294239 Sum of the parts in the partitions of n into two parts with larger part nonsquarefree. 2
0, 0, 0, 0, 5, 6, 7, 8, 9, 20, 22, 24, 39, 42, 45, 48, 51, 54, 57, 60, 84, 88, 92, 96, 100, 130, 135, 168, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 360, 414, 423, 432, 441, 500, 510, 520, 583, 594, 605, 616, 627, 638 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Index entries for sequences related to partitions

FORMULA

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

MATHEMATICA

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

PROG

(PARI) a(n) = n*sum(i=1, n\2, 1-moebius(n-i)^2); \\ Michel Marcus, Feb 11 2018

CROSSREFS

Cf. A008966, A294238.

Sequence in context: A037362 A102717 A015977 * A250050 A051052 A119368

Adjacent sequences:  A294236 A294237 A294238 * A294240 A294241 A294242

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)