%I #10 May 27 2024 11:33:45
%S 1,2,3,4,5,6,7,8,9,10,11,12,1,13,2,14,3,15,4,16,5,17,6,18,7,19,8,20,9,
%T 21,10,22,11,23,12,1,24,13,2,25,14,3,26,15,4,27,16,5,28,17,6,29,18,7,
%U 30,19,8,31,20,9,32,21,10,33,22,11,34,23,12,1,35,24,13,2,36,25,14,3,37,26
%N Signature sequence of Phi^5 = 11.090169943749..., where Phi is the golden ratio 1.6180339887499... .
%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 = 80; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^5, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N] &)[[1 ;; terms]] /. GoldenRatio -> 0; s != s0, s0 = s; m = 2 m]; s (* _Jean-François Alcover_, Jan 08 2017 *)
%Y Cf. A084531, A084532.
%K nonn
%O 1,2
%A _Casey Mongoven_, Nov 15 2009