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.
%I A332315 #4 Feb 09 2020 20:11:20
%S A332315 30514,36777,43978,3474262,5745125,10628554,16567494,40831527,
%T A332315 58008301,111798477,142981839,288834504,392413941,580867202,650141557,
%U A332315 944224497,967593411,1874210882,6306287377,6442064745,7377567197,8121464245
%N A332315 Numbers k such that k and k + 1 have the same norm of the sum of divisors in Gaussian integers.
%C A332315 The first term, 30514, is also a number k such that k and k + 1 have the sum divisors in Gaussian integers: -54720 + 48960*i (where i is the imaginary unit). What is the next term with this property?
%C A332315 No more terms below 1.5*10^10.
%e A332315 30514 is a term since A103230(30514) = A103230(30515) = 5391360000.
%t A332315 csigma[n_] :=(Abs @ DivisorSigma[1, n, GaussianIntegers -> True])^2; seq = {}; n1 = csigma[1]; Do[n2 = csigma[n]; If[n1 == n2, AppendTo[seq, n - 1]]; n1 = n2, {n, 2, 5*10^5}]; seq
%Y A332315 Cf. A002961, A064125, A103228, A103229, A103230, A293183, A306985.
%K A332315 nonn,more
%O A332315 1,1
%A A332315 _Amiram Eldar_, Feb 09 2020