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.

A383932 Integers k such that there exists an integer 0 such that sigma(m)*sigma(k) = (m+k)^2.

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%I A383932 #16 Jun 02 2025 11:58:30
%S A383932 84,102,160,186,276,284,330,582,624,762,868,1164,1210,1372,1404,1446,
%T A383932 1488,1540,1988,2156,2640,2716,2898,2924,3556,3708,3882,4074,4228,
%U A383932 4536,5382,5564,5610,5802,6018,6282,6368,6392,6486,6612,6748,7140,7452,7494,7960,8358,8432,9222,9834
%N A383932 Integers k such that there exists an integer 0<m<k such that sigma(m)*sigma(k) = (m+k)^2.
%C A383932 The numbers m and k form a GM-amicable pair. See Dimitrov link.
%H A383932 S. I. Dimitrov, <a href="https://arxiv.org/abs/2408.07387">Generalizations of amicable numbers</a>, arXiv:2408.07387 [math.NT], 2024.
%e A383932 For k=2 we have (28, 84), (42, 102), (60, 276), (92, 160).
%o A383932 (PARI) isok(k) = for (m=1, k-1, if (sigma(m)*sigma(k) == (m+k)^2, return(m))); \\ _Michel Marcus_, May 15 2025
%Y A383932 Cf. A063990, A259180, A383239, A383483, A383484.
%K A383932 nonn
%O A383932 1,1
%A A383932 _S. I. Dimitrov_, May 15 2025
%E A383932 More terms from _Michel Marcus_, May 15 2025