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

Author

N. J. A. Sloane, Feb 17 2002

Keywords

• sign

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

Crossrefs

Cf. A003418, A059794.

Programs

Mathematica

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