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A097485 Write each natural integer on a single label. Put the labels in numerical order to form an infinite sequence L. Consider now the succession of single digits made by juxtaposing Fibonacci numbers: 0,1,1,2,3,5,8,1,3,2,1,3,4,5,5,8,9,1,4,4,2,3,3,3,7,7,6,1,0,9,8,7,1,5,9,7... (A031324). The sequence S gives a rearrangement of the labels that reproduces the same succession of digits, subject to the constraints that a label of L cannot represent itself (except the initial zero) and the smallest label must be used that does not lead to a contradiction. 1
0, 11, 23, 58, 1, 3, 2, 13, 4, 5, 589, 14, 42, 33, 37, 7, 6, 10, 9, 8, 71, 59, 72, 584, 41, 81, 67, 65, 109, 46, 17, 71, 12, 86, 57, 463, 68, 750, 25, 121, 39, 31, 96, 418, 317, 81, 151, 422, 98, 320 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Labels of L can be used only once in S. We could name this sequence the "Fibo_nat_cci" sequence (_nat_ stands for "natural numbers")

LINKS

Table of n, a(n) for n=0..49.

EXAMPLE

We must begin with 0,1,1,2,3,... and we cannot represent the first "1" by the label "1", so the next possibility is the label "11". After "68" we must get "7,5,0,2,5,1,2,1,3,9,3,1,9,6,4,1,8..." (corresponding to Fibonacci numbers "75025,121393,196418...") and we cannot use "75" since no label begins with a 0 (except the first one). So the next term is "750".

CROSSREFS

Sequence in context: A217566 A141093 A041236 * A098100 A105967 A097473

Adjacent sequences:  A097482 A097483 A097484 * A097486 A097487 A097488

KEYWORD

base,easy,nonn

AUTHOR

Eric Angelini, Sep 19 2004

STATUS

approved

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Last modified July 23 10:16 EDT 2014. Contains 244854 sequences.