%I #31 Jan 10 2023 01:16:48
%S 2,5,25,52,55,222,252,255,552,555,2222,5222,5252,5255,22222,22252,
%T 22522,22525,22555,25222,52222,55222,55522,55525,55552,55555,222522,
%U 225222,225225,225522,252222,252225,522222,2225222,2225252,2225255,5222225,5222522,5225222
%N 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.
%H Tyler Busby, <a href="/A105647/b105647.txt">Table of n, a(n) for n = 1..200</a>
%e The sequence and the "kept" digits begin
%e 2, 5, 25, 52, 55, 222, 252, 255, 552, ...
%e ^ ^ ^ ^ ^
%e 2 5 2 5 5
%Y Cf. A105395, A105396, A105397, A105398.
%K base,easy,nonn
%O 1,1
%A _Eric Angelini_ and _Alexandre Wajnberg_, May 03 2005
%E Corrected and extended by _Tyler Busby_, Jan 08 2023