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 A088205 #14 Jul 28 2015 11:33:10 %S A088205 0,1,0,1,1,1,0,3,1,1,0,1,3,2,1,1,0,1,1,1,3,1,2,2,1,1,0,3,1,1,3,1,1,2, %T A088205 2,2,1,1,0,1,3,2,1,1,3,2,1,3,2,2,1,1,0,1,1,1,3,1,2,2,1,1,3,1,2,1,1,1, %U A088205 3,2,2,2,1,1,0,3,1,1,3,1,1,2,2,2,1,1,3,1,1,1,2,3,1,1,3,3,2,2,1,1,0,1,3,2,1 %N A088205 Infinite audioactive word that shifts 1 place left under "Look and Say" method A, starting with a(0)=0. %C A088205 Positions of zero are given by A088206. %C A088205 The sequence is obtained by starting with 0 and then successively appending the count (number of repetitions) and the value which is seen, term after term: "one zero, one one, one zero, three ones, one zero, ...". Otherwise said, the sequence is defined by "Start with 0 and append the result of "Look and Say" applied to the sequence". The "shifted left under Look and Say" property is thus an immediate consequence of the definition. A less trivial property is that there cannot be a number larger than 3 in this sequence. - _M. F. Hasler_, Jul 28 2015 %e A088205 The initial terms {0,1,0,1,1,1,0,3,1,1,0,...} are shifted 1 place left by saying: "one 0, one 1, one 0, three 1's, one 0, ...", which drops the leading 0 to give {1,0,1,1,1,0,3,1,1,0,...}. %o A088205 (PARI) a=List(0);my(i=1);while(#a<200,listput(a,1);listput(a,a[i]);while(a[i++]==a[#a],a[#a-1]++));a \\ _M. F. Hasler_, Jul 28 2015 %Y A088205 Cf. A088206, A088203, A087282, A005150. %K A088205 nonn %O A088205 0,8 %A A088205 _Paul D. Hanna_, Sep 22 2003