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 A177908 #12 Nov 23 2018 05:25:46
%S A177908 1,7,889,2359,299593,2033143,13549249,42931441,100170217,188097287,
%T A177908 233727361,310935751,685169191,1515836567,3606045247,4566096913,
%U A177908 5452293007,6620620783,12721617559,13162910047,24088984969,29683374847,30987132463,63388785719,65576560063,92349997537
%N A177908 Integers n such that n^3 divides 8^(n^2) - 1.
%C A177908 Contains A127102 as a subsequence.
%C A177908 From _M. F. Hasler_, Nov 21 2018: (Start)
%C A177908 The first terms not in A127102 are a({10, 11, 14, 20, 21, 22, ...}) = {188097287, 233727361, 1515836567, 13162910047, 24088984969, 29683374847, ...}.
%C A177908 The listed terms are all squarefree, and all but the first two terms appear to be divisible by either a(3) = 7*127 or a(4) = 7*337. Are there exceptions to these properties? (End)
%t A177908 Select[Range[2 10^5], IntegerQ[(8^(#^2) - 1) / #^3] &] (* or *) Select[Range[2 10^6], IntegerQ[(PowerMod[8, #, #^2] - 1) / #^3] &] (* _Vincenzo Librandi_, Nov 23 2018 *)
%o A177908 (PARI) is(n)=Mod(8,n^3)^n^2==1 \\ _M. F. Hasler_, Nov 21 2018
%Y A177908 Cf. A129211, A129212, A177905, A177907, A177909, A177243, A177911, A177912, A177913, A177914, A177915, A177916, A177917, A177918, A177919, A177920.
%K A177908 nonn
%O A177908 1,2
%A A177908 _Max Alekseyev_, May 17 2010
%E A177908 a(23)-a(26) from _Giovanni Resta_, Nov 23 2018