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.

A254278 Numbers that are smaller than the sum of their deficient divisors.

This page as a plain text file.
%I A254278 #19 Jun 26 2019 09:29:47
%S A254278 2,3,4,5,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,
%T A254278 32,33,34,35,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,55,57,58,59,
%U A254278 61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,81,82,83,85,86,87,88,89,91,92,93,94,95,97,98,99,101,102,103,104,105
%N A254278 Numbers that are smaller than the sum of their deficient divisors.
%C A254278 Contains every deficient number larger than 1 and every primitive abundant number (A071395).
%H A254278 Amiram Eldar, <a href="/A254278/b254278.txt">Table of n, a(n) for n = 1..10000</a>
%e A254278 a(16) = 20 since 20 is smaller than 22, which is the sum of its deficient divisors.
%t A254278 Select[Range@ 105, Function[n, n < Total@ Select[Divisors@ n, DivisorSigma[1, #] < 2 # &]]] (* _Michael De Vlieger_, Jul 16 2016 *)
%o A254278 (PARI) isok(n) = n < sumdiv(n, d, d*(sigma(d) < 2*d)); \\ _Michel Marcus_, Jun 26 2019
%Y A254278 Cf. A005100, supersequence of A071395 and A198471, A091191.
%K A254278 nonn
%O A254278 1,1
%A A254278 _Timothy L. Tiffin_, Jul 15 2016