Search: id:A084531
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%I A084531
%S A084531 1,2,1,3,2,4,1,3,5,2,4,1,6,3,5,2,7,4,1,6,3,8,5,2,7,4,9,1,6,3,8,5,10,2,
               7,
%T A084531 4,9,1,6,11,3,8,5,10,2,7,12,4,9,1,6,11,3,8,13,5,10,2,7,12,4,9,1,14,6,11,
%U A084531 3,8,13,5,10,2,15,7,12,4,9,1,14,6,11,3,16,8,13,5,10,2,15,7,12,4,17,9,1
%N A084531 Signature sequence of phi = (1+sqrt(5))/2 = 1.61803...
%C A084531 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.
%C A084531 Contribution from Clark Kimberling (ck6(AT)evansville.edu), Oct 31 2009: 
               (Start)
%C A084531 As a fractal sequence, if the first occurrence of each n is deleted, 
               the
%C A084531 remaining sequence is the original. That is, the upper trim of A084531 
               is
%C A084531 A084531. Also, the lower trim of A084531 is A084531, meaning that if 
               1 is
%C A084531 subtracted from every term and then all 0s are deleted, the result is 
               the
%C A084531 original sequence. Every fractal sequence begets an interspersion; the
%C A084531 interspersion of A084531 is A167267. (End)
%D A084531 Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 
               45 (1997) 157-168. [From Clark Kimberling (ck6(AT)evansville.edu), 
               Oct 31 2009]
%H A084531 T. D. Noe, <a href="b084531.txt">Table of n, a(n) for n=1..1000</a>
%Y A084531 Cf. A084532.
%Y A084531 Sequence in context: A058933 A087470 A158456 this_sequence A023129 A007337 
               A167430
%Y A084531 Adjacent sequences: A084528 A084529 A084530 this_sequence A084532 A084533 
               A084534
%K A084531 nonn
%O A084531 1,2
%A A084531 Henry Bottomley (se16(AT)btinternet.com), May 28 2003

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