A318172 Decimal expansion of the asymptotic density of deficient numbers.

7, 5, 2, 3, 8, 0

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, 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