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 A294237 Sum of the larger parts of the partitions of n into two parts with smaller part nonsquarefree. 1
 0, 0, 0, 0, 0, 0, 0, 4, 5, 6, 7, 8, 9, 10, 11, 20, 22, 33, 36, 39, 42, 45, 48, 63, 67, 71, 75, 79, 83, 87, 91, 111, 116, 121, 126, 149, 155, 161, 167, 193, 200, 207, 214, 221, 228, 235, 242, 273, 281, 314, 323, 332, 341, 377, 387, 425, 436, 447, 458, 469 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS FORMULA a(n) = Sum_{i=1..floor(n/2)} (n - i) * (1 - mu(i)^2), where mu is the Möbius function (A008683). MATHEMATICA Table[Sum[(n - k) (1 - MoebiusMu[k]^2), {k, Floor[n/2]}], {n, 80}] Table[Total[Select[IntegerPartitions[n, {2}], !SquareFreeQ[#[[2]]]&][[All, 1]]], {n, 60}] (* Harvey P. Dale, Jun 20 2021 *) CROSSREFS Cf. A008683, A008966, A294236. Sequence in context: A299546 A039128 A214421 * A162706 A088331 A239433 Adjacent sequences:  A294234 A294235 A294236 * A294238 A294239 A294240 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, Oct 25 2017 STATUS approved

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Last modified August 1 02:49 EDT 2021. Contains 346379 sequences. (Running on oeis4.)