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 A080607 #13 Apr 04 2015 02:40:38 %S A080607 3,3,3,6,6,6,9,9,9,12,12,12,12,12,12,15,15,15,15,15,15,18,18,18,18,18, %T A080607 18,21,21,21,21,21,21,21,21,21,24,24,24,24,24,24,24,24,24,27,27,27,27, %U A080607 27,27,27,27,27,30,30,30,30,30,30,30,30,30,30,30,30,33,33,33,33,33,33 %N A080607 Golomb's sequence using multiples of 3. %C A080607 More generally let b(k) be a sequence of integers in arithmetic progression: b(k) = A*k+B, then the Golomb's sequence a(n) using b(k) is asymptotic to tau^(2-tau)*(A*n)^(tau-1). %H A080607 Ivan Neretin, <a href="/A080607/b080607.txt">Table of n, a(n) for n = 1..10062</a> %F A080607 a(n) is asymptotic to tau^(2-tau)*(3n)^(tau-1) and more precisely it seems that a(n) = round(tau^(2-tau)*(3n)^(tau-1)) +(-2, -1, +0, +1 or +1) where tau is the golden ratio. %e A080607 Read 3,3,3,6,6,6,9,9,9,12,12,12,12,12,12,15 as (3,3,3),(6,6,6),(9,9,9),(12,12,12,12,12,12),... count occurrences between 2 parentheses, gives 3,3,3,6,... which is the sequence itself. %t A080607 a = {3, 3, 3}; Do[a = Join[a, Array[3i&, a[[i]]]], {i, 2, 11}]; a (* _Ivan Neretin_, Apr 03 2015 *) %Y A080607 Cf. A001462, A080606, A080605. %K A080607 nonn %O A080607 1,1 %A A080607 _Benoit Cloitre_, Feb 25 2003