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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 FORMULA a(n) = n * Sum_{i=1..n} (1 - mu(i)^2), where mu is the Möbius function (A008683). MATHEMATICA Table[n*Sum[(1 - MoebiusMu[k]^2), {k, Floor[n/2]}], {n, 80}] CROSSREFS Cf. A008683, 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 September 26 23:32 EDT 2020. Contains 337378 sequences. (Running on oeis4.)