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 A301938 #20 Nov 04 2020 11:01:02
%S A301938 1609,6992,9428,10094,12202,16090,16667,16849,20221,20359,21187,22917,
%T A301938 24267,25197,27083,29641,29813,29814,31763,33333,35901,39101,41096,
%U A301938 41664,43461,48391,50298,51609,53748,62361,66667,69920,70359,72594,72917,73409,74087,76019,76739,77083,79641,82999,83333
%N A301938 Numbers n with the property that n^2 contains a sequence of four or more consecutive 8's.
%C A301938 The sequence would certainly be infinite and runs of more than four 8's occur relatively frequently. For example, between 1 and 26000, there are two numbers whose squares contain five sequential 8's. These are 12202^2 = 148888804 and 20221^2 = 408888841.
%C A301938 If n is in the sequence, then so are k*10^d+n for all k >= 1, where n^2 has d digits. Therefore the sequence has nonzero lower asymptotic density. Presumably the asymptotic density is 1. - _Robert Israel_, Mar 29 2018
%H A301938 Robert Israel, <a href="/A301938/b301938.txt">Table of n, a(n) for n = 1..10000</a>
%e A301938 For n=1, 1609^2 = 2588881.
%p A301938 filter:= n -> StringTools:-Search("8888",sprintf("%d",n^2))<> 0:
%p A301938 select(filter, [$1..10^5]); # _Robert Israel_, Mar 29 2018
%K A301938 nonn,base
%O A301938 1,1
%A A301938 _Sean Reeves_, Mar 28 2018
%E A301938 More terms from _Robert Israel_, Mar 29 2018