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.

A167970 Signature sequence of phi^2 = 0.38196601125011..., where phi is the golden ratio 0.61803398874989... .

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%I A167970 #13 May 27 2024 11:32:17
%S A167970 1,1,1,2,1,2,1,2,1,3,2,1,3,2,1,3,2,4,1,3,2,4,1,3,2,4,1,3,5,2,4,1,3,5,
%T A167970 2,4,1,3,5,2,4,1,6,3,5,2,4,1,6,3,5,2,4,1,6,3,5,2,7,4,1,6,3,5,2,7,4,1,
%U A167970 6,3,5,2,7,4,1,6,3,8,5,2,7,4,1,6,3,8,5,2,7,4,1,6,3,8,5,2,7,4,9,1,6,3,8,5,2
%N A167970 Signature sequence of phi^2 = 0.38196601125011..., where phi is the golden ratio 0.61803398874989... .
%D A167970 Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.
%H A167970 <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>
%t A167970 terms = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j/GoldenRatio^2, {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 A167970 Cf. A084531, A084532, A118276.
%K A167970 nonn
%O A167970 1,4
%A A167970 _Casey Mongoven_, Nov 15 2009