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User:Olivier Gérard
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Olivier P. R. Gérard (1969-08-27 – 2024-09-16)
Contents
Olivier P. R. GERARD
Feel free to contact me through this wiki (Talk page, email-relay) about anything here.
Current actions
French translation of main, information and help pages
in progress here
User:Olivier_Gérard/Main_Page_fr User:Olivier_Gérard/Welcome_fr
Waiting for the stabilization of the original english pages.
Anti-Chinese TEST.
Features Wishlist
Main topics:
- Combinatorics, keen on permutations, words and integer partitions.
- Non classical algebras (non-associative systems, quasigroups, near rings and fields,
semigroups, matrices of continuous rank, ...)
- Special functions and their relations to combinatorics and quantum mechanics
- Rational generating functions and series expansions
Other contributions
- French versions of some pages and of some sequences
- Automatization of sequence formatting (with Eric Weisstein)
- Automatization of sequence transforms
- Batches of grid, scales and references sequences
- Mathematica parts of superseeker
- A few Mathematica code for sequences
You can write to me in
- French, English, German
Themes (In Progress)
Permutations
User:Olivier_Gérard/Permutations
Set Partitions
User:Olivier_Gérard/SetPartitions
Integer Partitions
User:Olivier_Gérard/IntPartitions
Thematic table of a few sequences
| Theme | Sample Sequences | OEIS Link |
| Non group-theoretic structure of Bi-algebras | Number of nondecreasing sequences which are differences of two permutations of 1,2,...,n. | A019589 |
| Special Functions | An hypergeometric interpretation of a simple binomial sum | A137644 |
| Combinatorics of hierarchical structures | Hierarchical partitions of a set of n elements into two second level classes | A000558 |
Restricted words
ternary words A001333, A028859, A001906, A088305, A033303, A000225, A095263, A003945, A006356, A002478, A214260, A001911, A000217
triangle of restricted ternary words by total length A137278
