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A294143
Sum of the larger parts of the partitions of 2n into two parts with smaller part squarefree.
1
1, 5, 12, 18, 29, 43, 60, 72, 84, 106, 131, 147, 176, 208, 243, 265, 304, 328, 371, 397, 444, 494, 547, 579, 611, 669, 703, 737, 800, 866, 935, 975, 1048, 1124, 1203, 1249, 1332, 1418, 1507, 1559, 1652, 1748, 1847, 1905, 1963, 2067, 2174, 2236, 2298, 2360
OFFSET
1,2
FORMULA
a(n) = Sum_{i=1..n} (2*n - i) * mu(i)^2, where mu is the Möbius function (A008683).
MATHEMATICA
Table[Sum[(2 n - i) MoebiusMu[i]^2, {i, n}], {n, 80}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, Oct 23 2017
STATUS
approved