login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A318172 Decimal expansion of the asymptotic density of deficient numbers. 0
7, 5, 2, 3, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

A number n is abundant if sigma(n) > 2n, perfect if sigma(n) = 2n, deficient if sigma(n) < 2n, where sigma(n) is the sum of the divisors of n. Since the asymptotic density of the perfect numbers is 0, then the asymptotic density of the deficient numbers (0.752380...) + the asymptotic density of the abundant numbers (0.247619...) is 1. - Muniru A Asiru, Oct 13 2018

LINKS

Table of n, a(n) for n=0..5.

P. G. Banda, The Schnirelmann density of the set of deficient numbers, Thesis 2015.

FORMULA

Equals 1 - A302991.

EXAMPLE

0.752380...

CROSSREFS

Cf. A005100, A302991, A303736.

Sequence in context: A071876 A306538 A191503 * A070404 A258370 A135537

Adjacent sequences:  A318169 A318170 A318171 * A318173 A318174 A318175

KEYWORD

nonn,cons,more

AUTHOR

Muniru A Asiru, Aug 20 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 2 18:09 EDT 2020. Contains 334787 sequences. (Running on oeis4.)