%I #14 May 27 2024 11:52:24
%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
%T 27,28,29,30,1,31,2,32,3,33,4,34,5,35,6,36,7,37,8,38,9,39,10,40,11,41,
%U 12,42,13,43,14,44,15,45,16,46,17,47,18,48,19,49,20,50,21,51,22,52,23
%N Signature sequence of Phi^7 = 29.034441853749..., 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 = 75; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*GoldenRatio^7, {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, A167965.
%K nonn
%O 1,2
%A _Casey Mongoven_, Nov 15 2009