A067068 a(n) = n* - 2^n, where n* (A003418) = least common multiple of the numbers [1,...,n].

-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

Offset

1,2

Comments

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

References

Tenenbaum, G. (2015). Introduction to analytic and probabilistic number theory, 3rd ed., American Mathematical Soc. See Theorem 1.5.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Table[LCM@@Range[n]-2^n, {n, 30}] (* Harvey P. Dale, Sep 24 2022 *)

Crossrefs

Cf. A003418, A059794.

Sequence in context: A189879 A189870 A257614 * A290126 A266046 A032334

Adjacent sequences: A067065 A067066 A067067 * A067069 A067070 A067071

Keyword

sign

Author

N. J. A. Sloane, Feb 17 2002

Status

approved