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A283295
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Integers n such that floor(n^(3/2)) is squarefree.
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2
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1, 2, 3, 5, 6, 8, 10, 12, 13, 15, 17, 19, 20, 22, 23, 32, 41, 43, 44, 45, 46, 47, 50, 52, 53, 55, 56, 57, 59, 69, 71, 72, 73, 75, 76, 80, 82, 84, 86, 87, 89, 90, 94, 97, 98, 99, 101, 102, 103, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 122, 125
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OFFSET
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1,2
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COMMENTS
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Cao & Zhai prove that this sequence is infinite.
The asymptotic density of this sequence is 6/Pi^2 (A059956) (Cao and Zhai, 1998). - Amiram Eldar, Feb 17 2021
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LINKS
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MATHEMATICA
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Select[Range[200], SquareFreeQ[Floor[#^(3/2)]]&] (* Harvey P. Dale, Aug 25 2017 *)
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PROG
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(PARI) isok(n) = issquarefree(sqrtint(n^3));
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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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