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 A167969 #14 May 27 2024 11:44:30 %S A167969 1,1,1,1,1,2,1,2,1,2,1,2,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2, %T A167969 3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,6,2, %U A167969 3,4,5,1,6,2,3,4,5,1,6,2,3,4,5,1,6,2,3,4,5,1,6,2,7,3,4,5,1,6,2,7,3,4,5,1,6 %N A167969 Signature sequence of phi^3 = 0.23606797749979..., where phi is the golden ratio 0.61803398874989... . %D A167969 Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168. %H A167969 <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a> %t A167969 terms = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j/GoldenRatio^3, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N] &)[[1 ;; terms]] /. GoldenRatio -> \[Infinity]; s != s0, s0 = s; m = 2 m]; s (* _Jean-François Alcover_, Jan 08 2017 *) %Y A167969 Cf. A084531, A084532, A167971. %K A167969 nonn %O A167969 1,6 %A A167969 _Casey Mongoven_, Nov 15 2009