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A067068
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a(n) = n* - 2^n, where n* (A003418) = least common multiple of the numbers [1,...,n].
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2
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-1, -2, -2, -4, 28, -4, 292, 584, 2008, 1496, 25672, 23624, 352168, 343976, 327592, 655184, 12121168, 11990096, 232268272, 231743984, 230695408, 228598256, 5345840272, 5337451664, 26737589968, 26704035536, 80179215472, 80044997744
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OFFSET
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1,2
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COMMENTS
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It is known that this sequence is nonnegative for n >= 7. This can be established using the methods used to show A059794 is nonnegative. - Carl Pomerance, Bell Labs, Feb 16 2002
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REFERENCES
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Tenenbaum, G. (2015). Introduction to analytic and probabilistic number theory, 3rd ed., American Mathematical Soc. See Theorem 1.5.
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 1..1000
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MATHEMATICA
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Table[LCM@@Range[n]-2^n, {n, 30}] (* Harvey P. Dale, Sep 24 2022 *)
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CROSSREFS
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Cf. A003418, A059794.
Sequence in context: A189879 A189870 A257614 * A290126 A266046 A032334
Adjacent sequences: A067065 A067066 A067067 * A067069 A067070 A067071
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane, Feb 17 2002
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STATUS
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approved
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