cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A318172 Decimal expansion of the asymptotic density of deficient numbers.

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%I A318172 #41 Aug 02 2025 21:55:17
%S A318172 7,5,2,3,8,0,3
%N A318172 Decimal expansion of the asymptotic density of deficient numbers.
%C A318172 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
%H A318172 Peter Gerralld Banda, <a href="http://hdl.handle.net/10211.3/157293">The Schnirelmann density of the set of deficient numbers</a>, Thesis, California State Polytechnic University, Pomona, 2015.
%H A318172 Nathan McNew and Jai Setty, <a href="https://arxiv.org/abs/2507.23041">On the densities of covering numbers and abundant numbers</a>, arXiv:2507.23041 [math.NT], 2025.
%F A318172 Equals 1 - A302991.
%e A318172 0.7523803...
%Y A318172 Cf. A005100, A302991, A303736.
%K A318172 nonn,cons,more
%O A318172 0,1
%A A318172 _Muniru A Asiru_, Aug 20 2018
%E A318172 a(6) from _Amiram Eldar_, Aug 02 2025