%I M0144 #25 May 27 2024 10:50:19
%S 1,2,1,3,2,4,1,3,5,2,4,6,1,3,5,7,2,4,6,1,8,3,5,7,2,9,4,6,1,8,3,10,5,7,
%T 2,9,4,11,6,1,8,3,10,5,12,7,2,9,4,11,6,13,1,8,3,10,5,12,7,14,2,9,4,11,
%U 6,13,1,8,15,3,10,5,12,7,14,2,9,16,4,11,6,13,1,8,15,3,10,17,5,12,7,14,2,9
%N Signature sequence of sqrt(3).
%C Arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x.
%D C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45, 1997, p. 157.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H T. D. Noe, <a href="/A007337/b007337.txt">Table of n, a(n) for n = 1..1000</a>
%H C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions</a>
%H <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>
%t Take[ Transpose[ Sort[ Flatten[ Table[{i + j*Sqrt[3], i}, {i, 25}, {j, 17}], 1], #1[[1]] < #2[[1]] &]][[2]], 95] (* _Robert G. Wilson v_, Jul 24 2004 *)
%Y First occurrence of n is given in A022778.
%K nonn
%O 1,2
%A _N. J. A. Sloane_, _Clark Kimberling_
%E More terms from _Robert G. Wilson v_, Jul 24 2004