[seqfan] Re: Name for a type of set needed

[jean-paul allouche]

Hi

The largest squarefree divisor of an integer is called the
radical of the integer and/or the squarefree kernel of
this integer (see, e.g., A007947).
Does it help?

best
jean-paul

Le 27/03/17 à 14:26, Bob Selcoe a écrit :
> Hi Neil, Antii, and seqfans,
>
> Antii - thanks for the insight, but still there's no name for these 
> sets.  I said before:
>
>> So for example, Column 6 is the set whose members have prime factors 
>> {2,5}:
>> {10, 20, 40, 50, 80, 100, 160, 200...}.
>>
>> Is there a standard name for such sets?
>
> Maybe "squarefree root" sets?
>
> Again, I think it's an important analytical tool so it's a bit 
> surprising that there doesn't appear to be a conventional name for it 
> - after all, we have "prime powers" for a given prime p, which is just 
> a "squarefree root" set with p as its "root".
>
> Neil - I suppose this isn't really the forum to create new 
> conventional language to be used outside of OEIS, but is it OK to call 
> them "squarefree root" sets for the purpose of submitting the 
> transpose of A284311? (I'll submit it in between working on A280864 
> and my job, but should be fairly soon).
>
> Cheers,
> Bob
>
>
>
> --------------------------------------------------
> From: "Neil Sloane" <njasloane at gmail.com>
> Sent: Monday, March 27, 2017 6:31 AM
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Subject: [seqfan] Re: Name for a type of set needed
>
>> I agree with Antti that if we have a sequence
>> obtained by reading an array by anti-diagonals
>> upwards, we should also have the sequence we get by reading
>> by anti-diagonals downwards
>> (unless of course the array is symmetric).
>>
>> - the sequence for the transposed array, in other words.
>>
>> Bob (Selcoe), can you submit the companion sequence
>> for the transpose of your A284311 ?
>>
>> Keep the entry simple, and just refer to A284311 for most of the 
>> properties
>>
>> -----
>>
>> As can be seen, I have started a new message rather than
>> simply replying to Antti's message.  That was because (bearing in
>> mind what Olivier said) I wanted to keep this message short.
>>
>> Does anyone know if there is a way to tell Gmail not to include all 
>> the earlier
>> messages when you reply to a message?
>>
>> -- 
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>
> -- 
> Seqfan Mailing list - http://list.seqfan.eu/