alcuin's sequence

## Primary tabs

# alcuin's sequence

I am trying to do some research on alcuin's sequence, but all the

references that I can find quote the terms of the sequence as the

coefficients in the Maclaurin expansion of [(1-x^2)(1-x^3)(1-x^4)]^-

1. I find this surprising, as I believe the sequence to have been

named after Alcuin of York (735-804) who lived many years before

Maclaurin expansions were discovered.

This sequence also gives the number of different triangles that have

integral sides and perimeter n. I would think that it is much more

likely that this is what Alcuin discovered, and years later someone

found that the above expansion acted as a generating function.

That is, of course, if the Alcuin who the sequence is named after is

Alcuin of York and not someone else with the same name.

I would be most grateful if you could either confirm or refute this,

or point me in the direction of any references.

Many thanks

Tony

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections