OFFSET
0,2
COMMENTS
This is the geometric mean of log(s(2n)/2n) where s(n) = A001065(n) = sigma(n) - n is the sum of aliquot parts function. As it is slightly negative, s(2n) is 'on average' smaller than 2n.
REFERENCES
J.-M. De Koninck, Review of "Carl Pomerance, The aliquot constant, after Bosma and Kane, Q. J. Math. 69 (2018), no. 3, 915-930", Math Review MR3859214.
Carl Pomerance, The aliquot constant, after Bosma and Kane, The Quarterly Journal of Mathematics, Volume 69, Issue 3, September 2018, Pages 915-930, https://doi.org/10.1093/qmath/hay005 [From journal website]
Carl Pomerance, Email to N. J. A. Sloane, Jan 18 2023
LINKS
W. Bosma and B. Kane, The aliquot constant, arXiv:0912.3660 [math.NT], 2009.
W. Bosma and B. Kane, The aliquot constant, Quarterly Journal of Mathematics 63 (2012), pp. 309-323.
Carl Pomerance, The aliquot constant, after Bosma and Kane, "aliconstantpaperrevised.pdf", Dec 28 2017. [Probably gives an incorrect value]
Carl Pomerance, The aliquot constant, after Bosma and Kane, "aliconstantpaper2.pdf", Jan 20 2018.
EXAMPLE
The constant is between -0.03325948080092 and -0.03325948080094. - Carl Pomerance, Jan 18 2023
CROSSREFS
KEYWORD
AUTHOR
N. J. A. Sloane, Jan 16 2023
STATUS
approved