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A111715
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Sum of the squares of the first n squarefree numbers.
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1
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0, 1, 5, 14, 39, 75, 124, 224, 345, 514, 710, 935, 1224, 1585, 2026, 2510, 3039, 3715, 4556, 5456, 6417, 7506, 8662, 9887, 11256, 12700, 14221, 15902, 17666, 19515, 21631, 23840, 26441, 29250, 32275, 35524, 38888, 42369, 46090, 49934, 54159
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OFFSET
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0,3
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LINKS
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Eric Weisstein's World of Mathematics, Squarefree.
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FORMULA
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a(n) ~ c * n^3, where c = Pi^4/108 = 0.901936... . - Amiram Eldar, Jan 19 2024
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EXAMPLE
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a(10) = 1^2 + 2^2 + 3^2 + 5^2 + 6^2 + 7^2 + 10^2 + 11^2 + 13^2 + 14^2 = 710.
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MATHEMATICA
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Join[{0}, Accumulate[Select[Range[100], SquareFreeQ]^2]] (* Harvey P. Dale, Apr 08 2015 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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