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# User:Olivier Gérard

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## 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

### 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