[seqfan] Re: A071030 == A118109 (Wolfram C.A. Rule 54)

[Neil Sloane]

Sorry, there was a nasty typo. The last sentences should have said:

Rule 190:
We have two identical sequence, A071039 and A118111.
Could one of you kindly change one of them into the binary-string version,
and add the "convert to base 10" sequence?
(The number of ON cells at state n is essentially A032766)

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 Tue, Oct 20, 2015 at 10:31 AM, Neil Sloane <njasloane at gmail.com> wrote:

> Mostly to Michael and Kevin:
>
> Rule 94:
> I took care of the three sequences that describe the Rule 94 CA, namely
> A071033, A118101, and A118102.
> These give the states as binary strings, individual bits, decimal numbers.
>
> Rule 150:
> Likewise, for Rule 150, there were 4 seqs, A038184, A071036, A118110,
> A245548.
> I merged the last two, so now there are 3.
>
> Rule 190:
> We have two identical sequence, A071039 and A118111.
> Could one of you kindly change one of them into the binary-string version,
> and all the "convert to base 10" sequence?
> (The number of ON cells at state n is essentially A032766)
>
>
> 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 Mon, Oct 19, 2015 at 7:13 PM, Kevin Ryde <user42_kevin at yahoo.com.au>
> wrote:
>
>> njasloane at gmail.com (Neil Sloane) writes:
>> >
>> > Michael, Thanks for noticing that! I have followed your advice and
>> replaced
>> > A118109 with what it
>> > should have been. We now have 3 versions of the sequence, A071030,
>> A118108
>> > and A118109.
>> > I think the change is consistent with what Eric Weisstein would want.
>>
>> I see there's several other pairs by Eric W of decimal and bits 0,1, eg.
>>
>>     rule=94             rule=188
>>     A118101 decimal     A118173 decimal
>>     A118102 bits        A118174 bits
>>
>> I wonder maybe A118109 is intended to be 0,1 but the duplication of
>> earlier A071030 is accidental.  Other duplications I notice (not
>> including rule=158 A071037 = A118172 already been merged),
>>
>>     rule=94    A071033 = A118102
>>     rule=150   A071036 = A118110
>>     rule=190   A071039 = A118111
>>
>> I wonder perhaps leave the values of A118109 as their existing 0,1 but
>> do what de-duplicate merging of the 4 duplications then possible new
>> sequences for whole row values 10101... (if don't exist already).
>>
>> Not all of A118...s are duplicates, eg. rule=188 A118174 isn't as far as
>> I can tell.
>>
>> The only confusing thing is that the corresponding mathworld pages show
>> binary 1, 111, 10001, 1110111.  But I think that's meant to be
>> understood as individual bits 0,1 because all the A118... sequences
>> referred to there are 0,1 so it doesn't seem a mistake in just one, say.
>>
>>     http://mathworld.wolfram.com/Rule54.html
>>     http://mathworld.wolfram.com/Rule94.html
>>     http://mathworld.wolfram.com/Rule188.html
>>
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>
>