A105647 - cp's OEIS frontend

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.

n	a(n)
1	2
2	5
3	25
4	52
5	55
6	222
7	252
8	255
9	552
10	555
11	2222
12	5222
13	5252
14	5255
15	22222
16	22252
17	22522
18	22525
19	22555
20	25222
21	52222
22	55222
23	55522
24	55525
25	55552
26	55555
27	222522
28	225222
29	225225
30	225522
31	252222
32	252225
33	522222
34	2225222
35	2225252
36	2225255
37	5222225
38	5222522
39	5225222

[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]

cp's OEIS Frontend

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