cp's OEIS Frontend

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.

A167969 Signature sequence of phi^3 = 0.23606797749979..., where phi is the golden ratio 0.61803398874989... .

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%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