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.

A167968 Signature sequence of phi^4 = 0.14589803375032..., where phi is the golden ratio minus 1 (0.61803398874989...).

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%I A167968 #14 May 27 2024 11:31:48
%S A167968 1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,
%T A167968 2,1,3,2,1,3,2,1,4,3,2,1,4,3,2,1,4,3,2,1,4,3,2,1,4,3,2,1,4,3,2,1,4,3,
%U A167968 2,1,5,4,3,2,1,5,4,3,2,1,5,4,3,2,1,5,4,3,2,1,5,4,3,2,1,5,4,3,2,1,5,4,3,2,1
%N A167968 Signature sequence of phi^4 = 0.14589803375032..., where phi is the golden ratio minus 1 (0.61803398874989...).
%D A167968 Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.
%H A167968 <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>
%t A167968 terms = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*(GoldenRatio-1)^4, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N]&)[[1 ;; terms]] /. GoldenRatio -> 1; s != s0, s0 = s; m = 2m]; s (* _Jean-François Alcover_, Jan 08 2017 *)
%Y A167968 Cf. A084531, A084532, A167972.
%K A167968 nonn
%O A167968 1,8
%A A167968 _Casey Mongoven_, Nov 15 2009