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.

A088008 Solutions to sigma(x) - 2x <= x^(1/3), both even and odd. Abundance-radius = abs(sigma(n)-2n) does not exceed 3rd root of n.

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%I A088008 #11 Feb 22 2023 08:59:07
%S A088008 1,2,4,6,8,10,16,20,28,32,64,70,88,104,110,128,136,152,256,315,464,
%T A088008 496,512,592,650,836,884,1012,1024,1155,1696,1758,1842,1866,1878,1888,
%U A088008 1902,1952,1986,2022,2048,2082,2094,2118,2144,2154,2202,2238,2272,2274,2298
%N A088008 Solutions to sigma(x) - 2x <= x^(1/3), both even and odd. Abundance-radius = abs(sigma(n)-2n) does not exceed 3rd root of n.
%H A088008 Amiram Eldar, <a href="/A088008/b088008.txt">Table of n, a(n) for n = 1..10000</a>
%t A088008 abu[x_] := Abs[DivisorSigma[1, x]-2*x] Do[If[ !Greater[abu[n], n^(1/3)//N], Print[n]], {n, 1, 100000}]
%t A088008 Select[Range[2300],Abs[DivisorSigma[1,#]-2#]<=CubeRoot[#]&] (* _Harvey P. Dale_, Feb 22 2023 *)
%Y A088008 Cf. A077374, A088007-A088012, A000396, A000079, A005100, A005101.
%K A088008 nonn
%O A088008 1,2
%A A088008 _Labos Elemer_, Oct 20 2003