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A105647
Lexicographically earliest sequence of increasing numbers whose digits satisfy the "Fractal Jump" rule using only the digits 2 and 5: 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.
3
2, 5, 25, 52, 55, 222, 252, 255, 552, 555, 2222, 5222, 5252, 5255, 22222, 22252, 22522, 22525, 22555, 25222, 52222, 55222, 55522, 55525, 55552, 55555, 222522, 225222, 225225, 225522, 252222, 252225, 522222, 2225222, 2225252, 2225255, 5222225, 5222522, 5225222
OFFSET
1,1
LINKS
EXAMPLE
The sequence and the "kept" digits begin
2, 5, 25, 52, 55, 222, 252, 255, 552, ...
^ ^ ^ ^ ^
2 5 2 5 5
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
EXTENSIONS
Corrected and extended by Tyler Busby, Jan 08 2023
STATUS
approved