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A105690
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A simple "Fractal Jump Sequence" (FJS).
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0
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2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2
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refs;
listen;
history;
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internal format)
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OFFSET
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2,1
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COMMENTS
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See A105397 for definition of Fractal Jump Sequence.
This is how to construct the sequence: start with 2 on rows a and b; put 2 empty spaces behind the 2 on row a; choose any two digits and put them on row b under the 2 empty spaces of row a; go back to row a and add the same two digits but each one with its according spaces (1 must always be followed by 1 space on row a and 2 must always be followed by 2 spaces); go back to row b and add under the next available spaces of a the digits necessary so to have the same succession of digits in rows b and a. The sequence builds itself automatically. The row (c) is obtained by "pushing" (a) into (b) -- [the first digit of a and b melt in a single copy of themselves]. Row (c) is the FJS sequence above.
(a)..2..1.2..1.1.2..1.2..1.1.1.2..2.....
(b)..212.1.12.1.2.11.1.22.1.1.1.12.22...
----------------------------------------
(c)..21211212111221111222111111212222...
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LINKS
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EXAMPLE
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To build such sequences one has only to choose the first digit d and the d digits to put under the d spaces of row (a).
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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