The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.



Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105647 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. 0
2, 52, 55, 522, 2252, 5522, 22522, 222522, 2222222, 2225225, 2522525, 22252522, 25525252 (list; graph; refs; listen; history; text; internal format)



Table of n, a(n) for n=2..14.


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.


Cf. A105395, A105396, A105397, A105398.

Sequence in context: A132492 A030264 A129742 * A080921 A053455 A297947

Adjacent sequences:  A105644 A105645 A105646 * A105648 A105649 A105650




Eric Angelini & Alexandre Wajnberg, May 03 2005



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 26 16:41 EST 2020. Contains 338641 sequences. (Running on oeis4.)