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.

A046684 Numbers k such that k and sum of squares of divisors of k are relatively prime.

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%I A046684 #16 Jul 23 2020 03:26:11
%S A046684 1,2,3,4,5,7,8,9,11,13,16,17,18,19,21,23,25,27,29,31,32,33,37,39,41,
%T A046684 43,45,47,49,51,53,55,57,59,61,64,67,69,71,72,73,77,79,81,83,87,89,91,
%U A046684 93,95,97,98,99,100,101,103,107,109,111,113,119,121,123,125,127,128,129
%N A046684 Numbers k such that k and sum of squares of divisors of k are relatively prime.
%C A046684 All even terms are either squares or doubled squares. - _Ivan Neretin_, Dec 30 2015
%C A046684 The asymptotic density of this sequence is 0 (Dressler, 1974). - _Amiram Eldar_, Jul 23 2020
%H A046684 Ivan Neretin, <a href="/A046684/b046684.txt">Table of n, a(n) for n = 1..10000</a>
%H A046684 Robert E. Dressler, <a href="https://doi.org/10.4153/CMB-1974-019-5">On a theorem of Niven</a>, Canadian Mathematical Bulletin, Vol. 17, No. 1 (1974), pp. 109-110.
%t A046684 Select[Range[130], GCD[#, DivisorSigma[2, #]] == 1 &] (* _Ivan Neretin_, Dec 30 2015 *)
%o A046684 (PARI) isok(n) = gcd(n, sigma(n, 2)) == 1; \\ _Michel Marcus_, Jan 10 2017
%Y A046684 Cf. A001157, A046686, A046687.
%K A046684 nonn
%O A046684 1,2
%A A046684 _Labos Elemer_