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%I #15 May 27 2024 11:41:50
%S 1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,
%T 2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,
%U 3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3
%N Signature sequence of phi^5 = 0.090169943749474..., where phi is the inverse golden ratio A094214.
%D Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.
%H <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>
%t terms = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j/GoldenRatio^5, {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 Cf. A084531, A084532, A167973.
%K nonn
%O 1,13
%A _Casey Mongoven_, Nov 15 2009