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 A127858 #12 Jul 29 2023 05:01:13 %S A127858 6,66,786,9426,113106,1357266,16287186,195446226,2345354706, %T A127858 28144256466,337731077586,4052772931026,48633275172306, %U A127858 583599302067666,7003191624811986,84038299497743826,1008459593972925906 %N A127858 Positive integers n such that r(n^2)=r(n)^2, where r is the cyclic replacement map of the digits d of n in base 12, that is, d->d+1 if d<11 and d->0 if d=11. %C A127858 In base 12 the sequence is 6, 56, 556, 5556, 55556, 555556, 5555556, 55555556, 555555556, 5555555556, and so on. %C A127858 If r is the cyclic replacement map in base 10, then the only positive integers n with the property that r(n^2)=r(n)^2 appear to be 5, 45. For example, r(45^2)=r(2025)=3136=56^2=r(45)^2. %F A127858 a(n) = 5*(12^n - 1)/11 + 1. - _Max Alekseyev_, Jul 27 2023 %e A127858 a(2)=66 since, in base 12, 66=56, r(56)=67 and r(56^2)=r(2630)=3741=67^2. %Y A127858 Subsequence of A127857. %Y A127858 Cf. A117755, A127856, A127859, A127860, A127861, A192544. %K A127858 nonn,base %O A127858 1,1 %A A127858 _Walter Kehowski_, Feb 04 2007 %E A127858 Edited by _Max Alekseyev_, Jul 27 2023