Wikipedia:Articles for deletion/Anti-Fibonacci number

The following discussion is an archived debate of the proposed deletion of the article below. Please do not modify it. Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a deletion review). No further edits should be made to this page.

The result was delete. Bucketsofg 03:59, 3 February 2007 (UTC)[reply]

Anti-Fibonacci number

Neologism for something already covered in Fibonacci number and Generalizations of Fibonacci numbers. Nothing from two Google searches. Mathworld doesn't use the term either. Wafulz 02:20, 26 January 2007 (UTC)[reply]

Opinion. I don't know whether "anti-fibonacci number is a neologism or not. It's clearly not fully covered in the other two articles you showed me. I think the most logical choice is to merge and redirect with Generalizations of Fibonacci numbers. Either that or keep it as is because the content belongs in the general subject of Fibonacci. YechielMan 02:40, 26 January 2007 (UTC)[reply]
- The only material not present is the convergence on 1/phi, which I have not seen published anywhere, and its derivation is not given in the article. The inverse phi doesn't even make much sense intuitively- seeing as the sequence is just basically the Fibonacci sequence with alternating signs, it should converge to negative phi. The rest of the article is basically listing some of the numbers. --Wafulz 03:08, 26 January 2007 (UTC)[reply]
Delete. This term does not appear to be used anywhere outside pages that copied this article. If the sequence is notable (I don't know what it'd be called if there is a name for it - alternating Fibonacci sequence?), then merge to Generalizations of Fibonacci numbers. Pomte 02:59, 26 January 2007 (UTC)[reply]
Delete: not worthy of its own article. A mention in Generalizations of Fibonacci numbers would be sufficient. Also, -1/phi is suspect. -phi seems more likely to me. Stephen B Streater 04:13, 26 January 2007 (UTC)[reply]
Delete because it is already covered on Wikipedia and lacks sufficient verification.-- danntm ^T _C 21:12, 26 January 2007 (UTC)[reply]
Redirect. This is a common-enough extension of Fibonacci numbers to negative indices. The recurrence is still F(n) = F(n-2)+F(n-1) for all n not in {0, 1}. (The ratio -1/phi corresponds to F(n)/F(n-1) as n goes to negative infinity in this way of viewing the sequence.) Merge to Generalizations of Fibonacci numbers and redirect it and Anti-Fibonacci numbers (plural) there. Gimmetrow 00:45, 28 January 2007 (UTC)[reply]
Redirect to Fibonacci number. Plausible search term, and redirects are cheap. delldot | talk 17:32, 28 January 2007 (UTC)[reply]
Redirect to Fibonacci number. per comments above.DaveApter 17:43, 28 January 2007 (UTC)[reply]
Delete; do not redirect. We are not going to have this term in Fibonacci number; it's not sourced. No one uses it, and if anyone searches just to find out if there is such a term, Fibonacci number will come up. Septentrionalis PMAnderson 23:35, 29 January 2007 (UTC)[reply]
Delete if it is an unreferenced term, it shouldn't have mention either on the parent article or any other until it canbe verified. SGGH 19:03, 30 January 2007 (UTC)[reply]
Redirect Can also be found in the OEIS (ID:A039834), where it's also linked to Wikipedia. Can-Dutch 22:49, 30 January 2007 (UTC)[reply]
- So it looks like someone read the Wikipeida article and submitted it to OEIS, and there are no independent sources of the term. Pomte 23:12, 30 January 2007 (UTC)[reply]
- But, unless it's removed from the OEIS, too, then the article should be redirected, instead of deleting it entirely. Can-Dutch 00:20, 1 February 2007 (UTC)[reply]
Comment. Redirects are cheap. WP has all sorts of informal redirects. Redirects are often kept at RfD with the argument that someone created it, therefore it must have been considered useful. A fortiori here, where someone created an entire article based on the term. If the term "Anti-Fibonacci number" is not used by professional mathematicians, then perhaps it shouldn't be used in an article. However, that does not mean a redirect from the term to Generalizations of Fibonacci numbers isn't a useful search aid for someone who knows the concept of a negative-indexed Fibonacci sequence without knowing a proper name. Also in regard to previous statement, the value -1/phi is the same as 1-phi, which is mentioned in Fibonacci number as the "other root" of the defining equation. Gimmetrow 23:21, 30 January 2007 (UTC)[reply]
- Looked for various uses of the term, and found two academic sources, both in music, but with different meanings. One refers to an "anti-Fibonacci expansion" where something typically developed using a Golden Ratio is reversed or reduced by that ratio. The other refers to "anti-Fibonacci" pitches, which are associated with numbers missing from the standard sequence after some transformation. (The latter sense is used in Cessu's blog.) Also found a page at The Media Desk, which refers in passing to "Anti-Fibonacci numbers" without explanation, but with a link to A00045 it suggests the WP page.
  - Newman W. Powell. "Fibonacci and the Gold Mean: Rabbits, Rumbas, and Rondeaux". Journal of Music Theory (1979), v.23, n.2, p.258 of p.227-273. (JSTOR)
  - Tae Hong Park. "Towards Automatic Musical Instrument Timbre Recognition". (Ph.D. Thesis)
  - Cessu's Blog. "Anti-Fibonacci Sequences and Rings of Saturn".
  - "God's Sequence". The Media Desk.

The above discussion is preserved as an archive of the debate. Please do not modify it. Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a deletion review). No further edits should be made to this page.