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%I #36 Apr 06 2024 20:30:51
%S 0,3,3,2,5,9,4,8,0,8,0,0,9
%N Decimal expansion of the aliquot constant (negated).
%C 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.
%D 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.
%D 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]
%D Carl Pomerance, Email to _N. J. A. Sloane_, Jan 18 2023
%H W. Bosma and B. Kane, <a href="https://arxiv.org/abs/0912.3660">The aliquot constant</a>, arXiv:0912.3660 [math.NT], 2009.
%H W. Bosma and B. Kane, <a href="https://doi.org/10.1093/qmath/haq050">The aliquot constant</a>, Quarterly Journal of Mathematics 63 (2012), pp. 309-323.
%H Carl Pomerance, <a href="https://www.math.dartmouth.edu/~carlp/aliconstantpaperrevised.pdf">The aliquot constant, after Bosma and Kane</a>, "aliconstantpaperrevised.pdf", Dec 28 2017. [Probably gives an incorrect value]
%H Carl Pomerance, <a href="https://www.math.dartmouth.edu/~carlp/aliconstantpaper2.pdf">The aliquot constant, after Bosma and Kane</a>, "aliconstantpaper2.pdf", Jan 20 2018.
%e The constant is between -0.03325948080092 and -0.03325948080094. - Carl Pomerance, Jan 18 2023
%K nonn,cons,more
%O 0,2
%A _N. J. A. Sloane_, Jan 16 2023
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