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Signature sequence of sqrt(5) (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x).
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%I #13 May 28 2024 06:34:33

%S 1,2,3,1,4,2,5,3,1,6,4,2,7,5,3,1,8,6,4,2,9,7,5,3,1,10,8,6,4,2,11,9,7,

%T 5,3,12,1,10,8,6,4,13,2,11,9,7,5,14,3,12,1,10,8,6,15,4,13,2,11,9,7,16,

%U 5,14,3,12,1,10,8,17,6,15,4,13,2,11,9,18,7,16,5,14,3,12,1,10

%N Signature sequence of sqrt(5) (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 p 157 1997.

%H T. D. Noe, <a href="/A023117/b023117.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>

%Y Cf. A002163.

%K nonn

%O 1,2

%A _Clark Kimberling_