[seqfan] Re: Primitive version of A091784

David Corneth davidacorneth at gmail.com
Mon Aug 22 23:24:48 CEST 2016


This can be pushed further.
We start with no digits.

Using the following operations:
- prepend a 1, or 236.
- replace a digit d by k digits d*k where d*k < 10 (if such k exists)
- sort the digits

All terms of A091784 can be found this way.
An example:
To find 23444688.
We start with nothing.
1) Then, prepend 236. We get 236.
2) Prepend 1, we get 1236.
3) Replace a (the) digit 1 by 4 digits 1 * 4 = 4.
We get: 4444236
4) Replace a digit 4 by 2 digits 2 * 4 = 8.
We get (for example, which digit we pick doesn't matter)
44488236.
5) sort the digits.
We get 23444688 as desired using 5 operations.

This may lead to the following sequence:
Number of operations required to find A091784(n).



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