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A055682
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Floor(n*sqrt(n)) - sigma(n), where sigma(n) is the sum of the divisors of n (A000203).
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4
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0, -1, 1, 1, 5, 2, 10, 7, 14, 13, 24, 13, 32, 28, 34, 33, 52, 37, 62, 47, 64, 67, 86, 57, 94, 90, 100, 92, 126, 92, 140, 118, 141, 144, 159, 125, 187, 174, 187, 162, 220, 176, 237, 207, 223, 239, 274, 208, 286, 260, 292, 276, 331, 276, 335, 299
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OFFSET
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1,5
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COMMENTS
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Always > 0 for n > 2.
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REFERENCES
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C. C. Lindner, Problem E1888, Amer. Math. Monthly, 73 (1966); solution by A. Bager and S. Russ, op. cit. 74 (1967), 1143.
D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section III.1.1.b.
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LINKS
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Table of n, a(n) for n=1..56.
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PROG
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(PARI) a(n)=sqrtint(n^3)-sigma(n) \\ Charles R Greathouse IV, Feb 14 2013
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CROSSREFS
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Cf. A000203, A057641, A058208.
Sequence in context: A036121 A162396 A194046 * A187875 A136397 A065292
Adjacent sequences: A055679 A055680 A055681 * A055683 A055684 A055685
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Nov 29 2000
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STATUS
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approved
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