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A292527 Decimal expansion of the aliquot constant (negated). 0
3, 3, 2, 5, 9, 4, 8, 0, 7, 8, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
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. 309-323.

Carl Pomerance, The aliquot constant, after Bosma and Kane, submitted for publication.

EXAMPLE

-0.0332594807800...

CROSSREFS

Cf. A001065, A098007, A000203.

Sequence in context: A290599 A070163 A083343 * A186111 A186813 A293521

Adjacent sequences:  A292524 A292525 A292526 * A292528 A292529 A292530

KEYWORD

nonn,cons,hard,more

AUTHOR

Charles R Greathouse IV, Jan 09 2018

STATUS

approved

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Last modified October 14 09:57 EDT 2019. Contains 327995 sequences. (Running on oeis4.)