Talk:Fibonacci sequence: Difference between revisions

Revision as of 19:20, 16 July 2025

Latest revision as of 21:13, 18 July 2025

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::::::{{tq|Please don't try to use ChatGPT to answer research questions.}} — I agree with you, despite that ChatGPT's answer to your statement suggests nuances and exceptions.

::::::{{tq|... explain with prose instead of letting them infer from tiny subtle differences of notation}} — generally I aim to do both. —[[User:Quantling|<span class="texhtml"><i>Q</i></span>uantling]]&nbsp;([[User talk:Quantling|talk]]&nbsp;&#124;&nbsp;[[Special:Contributions/Quantling|contribs]]) 19:20, 16 July 2025 (UTC)

== Is there a generating function ==

I noticed in the part where it said generating function it did not go in to terms on how to make Fn without writing the whole list, just in something else. Also , the connection to Pascal’s triangle is important and should be added [[Special:Contributions/2A00:23C7:9910:EE01:295C:A9B5:540B:86B|2A00:23C7:9910:EE01:295C:A9B5:540B:86B]] ([[User talk:2A00:23C7:9910:EE01:295C:A9B5:540B:86B|talk]]) 09:39, 18 July 2025 (UTC)

:I don't understand your question about the generating function. As for your other point, the article has a diagram and the line 'The Fibonacci numbers occur as the sums of binomial coefficients in the "shallow" diagonals of Pascal's triangle'. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 10:03, 18 July 2025 (UTC)

:I have added the standard way for computing the generating series. [[User:D.Lazard|D.Lazard]] ([[User talk:D.Lazard|talk]]) 10:32, 18 July 2025 (UTC)

::I edited the article before seeing this discussion. I apologize for that. Hopefully, the edit I made will be considered constructive nonetheless. If not, please revert or otherwise do the right thing. Thank you —[[User:Quantling|<span class="texhtml"><i>Q</i></span>uantling]]&nbsp;([[User talk:Quantling|talk]]&nbsp;&#124;&nbsp;[[Special:Contributions/Quantling|contribs]]) 13:16, 18 July 2025 (UTC)

:::I removed the section since its understandable part contains only assertions that are elsewhere in the article. Flajolet et al. systematic use of generating series (even when they are never convergent) is interesting and very powerful, but I do not se any reason for mentioning it in this article. [[User:D.Lazard|D.Lazard]] ([[User talk:D.Lazard|talk]]) 21:13, 18 July 2025 (UTC)