transforms

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Brendan

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Aug 20, 2026, 2:41:19 AM (6 days ago) Aug 20
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Most of the common transforms are very cheap computationally.

I'm thinking it would be very nice to have a web interface that takes a sequence (either a list of numbers or an A number) and a transform name, and gives the result.

This would be a lot more convenient than playing with Maple/PARI/whatever code.

Cheers, Brendan.

Christian Lawson-Perfect

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Aug 20, 2026, 4:00:38 AM (6 days ago) Aug 20
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Yes, this would be easy to set up. What transformations are you thinking of?

By the way, I looked on the OEIS wiki for transforms, and while there are quite a few pages about individual transforms, there isn't a page listing them. Should I add one?

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Brendan

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Aug 20, 2026, 4:10:44 AM (6 days ago) Aug 20
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My personal choices are not the right criterion.  Those transforms used in OEIS more than a handful of times would be a better choice.
Maybe that would miss some that are used but not mentioned, but it's a start.

Brendan.


Sean A. Irvine

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Aug 20, 2026, 5:42:47 AM (6 days ago) Aug 20
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Pontus von Brömssen

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Aug 20, 2026, 7:05:48 AM (6 days ago) Aug 20
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Christian Lawson-Perfect

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Aug 20, 2026, 7:51:12 AM (6 days ago) Aug 20
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Aha, that's exactly what I was looking for, thanks! I wonder why it didn't come up when I searched for "list of transformations"

Natalia L. Skirrow

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Aug 21, 2026, 1:28:56 PM (5 days ago) Aug 21
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The wiki also has User:Peter Luschny/SequenceTransformations which contains fast reference implementations (converting the first few terms of a sequence into the first few terms of its transform, which is better than computing terms individually since recurrences in terms of the already-generated outputs are generally cheap) in SageMath, which can be used in the online shell or ported to other languages ^͜^̹

Peter Luschny

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Aug 21, 2026, 3:57:11 PM (5 days ago) Aug 21
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Maybe you like this page, a similar idea, but restricted to the listed sequences.
https://peterluschny.github.io/tablInspector/index.html

On the right-hand side, the 'transformations' are referred to as 'traits' and briefly described in the formulas. 

It is really just intended for my personal use. It is a project on my GitHub page. 
But it is open to further development; serious contributions might be accepted,
provided they don't require too much work.

Peter


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