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A084532 Signature sequence of 1/phi = phi-1 = (sqrt(5)-1)/2 = 0.61803... 14

%I #11 May 27 2024 10:49:53

%S 1,1,2,1,2,1,3,2,1,3,2,4,1,3,2,4,1,3,5,2,4,1,3,5,2,4,1,6,3,5,2,4,1,6,

%T 3,5,2,7,4,1,6,3,5,2,7,4,1,6,3,8,5,2,7,4,1,6,3,8,5,2,7,4,9,1,6,3,8,5,

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

%N Signature sequence of 1/phi = phi-1 = (sqrt(5)-1)/2 = 0.61803...

%C Arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x; the sequence of j's is the signature of 1/x.

%H T. D. Noe, <a href="/A084532/b084532.txt">Table of n, a(n) for n = 1..1000</a>

%H Casey Mongoven, <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_41_from175to192.pdf">Sonification of multiple Fibonacci-related sequences</a>, Annales Mathematicae et Informaticae, 41 (2013) pp. 175-192.

%H <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>

%Y Cf. A084531.

%K nonn

%O 1,3

%A _Henry Bottomley_, May 28 2003

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Last modified July 16 08:10 EDT 2024. Contains 374345 sequences. (Running on oeis4.)