

A292527


Decimal expansion of the aliquot constant (negated).


0



3, 3, 2, 5, 9, 4, 8, 0, 7, 8, 0, 0
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OFFSET

1,1


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.


LINKS

Table of n, a(n) for n=1..10.
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. 309323.
Carl Pomerance, The aliquot constant, after Bosma and Kane, The Quarterly Journal of Mathematics, Volume 69, Issue 3 (September 2018), pp. 915930.


EXAMPLE

0.0332594807800...


CROSSREFS

Cf. A001065, A098007, A000203.
Sequence in context: A290599 A070163 A083343 * A186111 A186813 A329690
Adjacent sequences: A292524 A292525 A292526 * A292528 A292529 A292530


KEYWORD

nonn,cons,hard,more


AUTHOR

Charles R Greathouse IV, Jan 09 2018


STATUS

approved



