[seqfan] Re: Prime signature of 1, and second signature
ghodges14 at comcast.net
Sun Jun 10 21:20:27 CEST 2012
Good points. I've also written a sequence of second signatures of the non-squarefree numbers (https://oeis.org/draft/A212174), and that sequence will of course have a link to A212172.
----- Original Message -----
From: Marc LeBrun <mlb at well.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Sun, 10 Jun 2012 18:42:12 -0000 (UTC)
Subject: [seqfan] Re: Prime signature of 1, and second signature
> ...it is my observation that it is better to omit elements entirely than
> kludge them. Better to start at index 2 than to treat 1 inconsistently.
I second this advice, although it took me a while to overcome the natural
mathematical impulse to try to address the most general cases. In the OEIS
it's actually best to resist the temptation to extend sequences "backwards"
when the interpretation becomes in any way problematic (controversial,
ambiguous, kludgey, arguable, etc). For one thing doing this can thereupon
create a temptation for someone to later submit an otherwise identical
sequence that differs only by that term, which then becomes a maintenance
burden (eg which do you cross reference, etc). It also might cause
automation like superseeker to miss a legitimate "hit" on the sequence,
because, for example, some transform it tries might not naturally produce
that "artificial" value, or not even try because it isn't applicable to the
thus-extended range (eg Mobius transform, since mu(n) only applies to n>0).
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