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A167267 Interspersion of the signature sequence of (1+sqrt(5))/2. +0
2
1, 3, 2, 7, 5, 4, 12, 10, 8, 6, 19, 16, 14, 11, 9, 28, 24, 21, 18, 15, 13, 38, 34, 30, 26, 23, 20, 17, 50, 45, 41, 36, 32, 29, 25, 22, 63, 58, 53, 48, 43, 39, 35, 31, 27, 78, 72, 67, 61, 56, 51, 46, 42, 37, 33 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row n is the ordered sequence of numbers k such that A084531(k)=n.

As a sequence, A167267 is a permutation of the positive integers.

Is the difference sequence of column 1 equal to A019446?

Is the difference sequence of row 1 essentially equal to A026351?

REFERENCES

Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.

EXAMPLE

Northwest corner:

1 3 7 12 19 28 38

2 5 10 16 24 34 45

4 8 14 21 30 41 53

6 11 18 26 36 48 61

CROSSREFS

Cf. A084531.

Sequence in context: A137225 A118834 A087468 this_sequence A097286 A163255 A066884

Adjacent sequences: A167264 A167265 A167266 this_sequence A167268 A167269 A167270

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Oct 31 2009

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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