[seqfan] Re: 2-3 sequence puzzle

[Bob Selcoe]

Thanks, Neil.

The sequence is proposed as A256179, crossrefs added to all sequences.

Should Vladimir be included as a co-author, since he really is the one who 
generated the sequence via this puzzle?

Best,
Bob

--------------------------------------------------
From: "Neil Sloane" <njasloane at gmail.com>
Sent: Wednesday, March 18, 2015 12:02 PM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: 2-3 sequence puzzle

> Bob, that's very nice, your "towers" sequence - please submit it, and
> add cross-references linking all three (yours, A185969, A248907) (I mean,
> make sure each one points to the other two)
>
> Best regards
> Neil
>
> Neil J. A. Sloane, President, OEIS Foundation.
> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
>
> On Wed, Mar 18, 2015 at 10:49 AM, Bob Selcoe <rselcoe at entouchonline.net>
> wrote:
>
>> Hi Vladimir, Reinhard and Seqfans,
>>
>> More specifically than simply a permutation of 2-3 numbers, isn't this 
>> the
>> sequence of power towers in ascending order using all permutations of 2s
>> and 3s?
>>
>> 2
>> 3
>> 2^2 = 4
>> 2^3 = 8
>> 3^2 = 9
>> 2^(2^2) = 16
>> 3^3= 27
>> 3^(2^2) = 81
>> 2^(2^3) = 256
>> 2^(3^2) = 512
>> ...
>>
>> This would make a nice OEIS entry (it's not already there!).
>>
>> Best,
>> Bob Selcoe
>>
>> --------------------------------------------------
>> From: "Reinhard Zumkeller" <reinhard.zumkeller at gmail.com>
>> Sent: Wednesday, March 18, 2015 6:11 AM
>> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
>> Cc: <seqfan at seqfan.eu>
>> Subject: [seqfan] Re: 2-3 sequence puzzle
>>
>>
>>  Dear Vladimir,
>>>
>>> thanks for this nice challenge!
>>>
>>> My solution: it's a permutation of 2-3 numbers based on your
>>> https://oeis.org/A185969
>>>
>>> Please have a look at draft https://oeis.org/draft/A248907 and add some
>>> substance and a more explicit definition; the provisional definition
>>> should
>>> be just a comment.
>>>
>>> Best regards
>>> Reinhard
>>>
>>>
>>> 2015-03-18 0:11 GMT+01:00 Vladimir Reshetnikov 
>>> <v.reshetnikov at gmail.com>:
>>>
>>>  Dear Seqfans,
>>>>
>>>> Here is a sequence consisting of all non-empty finite strings of digits 
>>>> 2
>>>> and 3 without any duplicates. It begins as:
>>>>
>>>> 2, 3, 22, 23, 32, 222, 33, 322, 223, 232, 323, 332, 2222, 3222, 233, 
>>>> 333,
>>>> 2322, 3322, 2223, 3223, 2232, 3232, 2323, 3323, 2332, 3332, 22222, 
>>>> 32222,
>>>> 23222, 33222, 2233, 3233, 2333, 3333, 22322, 32322, 23322, 33322, 
>>>> 22223,
>>>> 32223, 23223, 33223, 22232, 32232, 23232, 33232, 22323, 32323, 23323,
>>>> 33323, 22332, 32332, 23332, 33332, 222222, 322222, 232222, 332222,
>>>> 223222,
>>>> 323222, 233222, 333222, 22233, 32233, 23233, 33233, 22333, 32333, 
>>>> 23333,
>>>> 33333, 222322, ...
>>>>
>>>> Can you guess the order in what they appear?
>>>>
>>>> --
>>>> Vladimir
>>>>
>>>> _______________________________________________
>>>>
>>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>>
>>>>
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>>>
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