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Search: id:A084531
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A084531 Signature sequence of phi = (1+sqrt(5))/2 = 1.61803... +0
7
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, 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, 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 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

Contribution from Clark Kimberling (ck6(AT)evansville.edu), Oct 31 2009: (Start)

As a fractal sequence, if the first occurrence of each n is deleted, the

remaining sequence is the original. That is, the upper trim of A084531 is

A084531. Also, the lower trim of A084531 is A084531, meaning that if 1 is

subtracted from every term and then all 0s are deleted, the result is the

original sequence. Every fractal sequence begets an interspersion; the

interspersion of A084531 is A167267. (End)

REFERENCES

Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168. [From Clark Kimberling (ck6(AT)evansville.edu), Oct 31 2009]

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

CROSSREFS

Cf. A084532.

Adjacent sequences: A084528 A084529 A084530 this_sequence A084532 A084533 A084534

Sequence in context: A058933 A087470 A158456 this_sequence A023129 A007337 A056892

KEYWORD

nonn,new

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), May 28 2003

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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