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A032515
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Sum of the integer part of 5/2-th roots of integers less than or equal to n.
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4
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0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141, 145, 149, 153, 157, 161, 165, 169, 174, 179, 184, 189, 194, 199
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OFFSET
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0,3
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LINKS
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FORMULA
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EXAMPLE
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1^(2/5) = 1.
2^(2/5) = 1.3195...
3^(2/5) = 1.5518...
4^(2/5) = 1.7411...
5^(2/5) = 1.90365...
6^(2/5) = 2.047672511...
Hence a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 4, a(5) = 5, a(6) = 7.
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MATHEMATICA
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Accumulate[Table[Floor[n^(2/5)], {n, 0, 59}]] (* Alonso del Arte, Jun 13 2017 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Michel Tixier (tixier(AT)dyadel.net)
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STATUS
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approved
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