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A105647
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Increasing numbers whose digits satisfy the" Fractal Jump" rule: keep the first digit "d" of the sequence, then jump over the next "d" digits and keep the digit "e" on which you have landed. Jump now over the next "e" digits and keep the digit "f" on which you have landed, etc. The succession "def..." of kept digits is the sequence itself, whose digits are concatenated to form increasing numbers.
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0
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2, 52, 55, 522, 2252, 5522, 22522, 222522, 2222222, 2225225, 2522525, 22252522, 25525252
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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EXAMPLE
| Take the first digit: 2. Jump over the next two digits (5 and 2) and take the next one: 5. Jump over the next five digits (5 5 2 2 2) and take the next one: 2 (the second 2 of number 2252). Jump over the next two digits (5 2) and take the next one: 5 (the first 5 of number 5522), etc. The digits taken: 2 5 2 5... constitute the sequence itself.
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CROSSREFS
| Cf. A105395, A105396, A105397, A105398.
Sequence in context: A132492 A030264 A129742 * A053455 A080921 A034311
Adjacent sequences: A105644 A105645 A105646 * A105648 A105649 A105650
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KEYWORD
| base,easy,nonn
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AUTHOR
| Eric Angelini & Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), May 03 2005
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