M. Merca

activity

20142026

most citedFast algorithm for generating ascending compositions

39 citations · 83 across the 24 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019

Infinite product formulae for generating functions for sequences of squares

Christian Krattenthaler, Mircea Merca, Cristian-Silviu Radu

We state and prove product formulae for several generating functions for sequences $(a_{n})_{n \geq 0}$ that are defined by the property that $P a_{n} + b^{2}$ is a square, where $P$ and $b$ a…

math.NT2019

Combinatorial Proof of the Minimal Excludant Theorem

Cristina Ballantine, Mircea Merca

The minimal excludant of a partition $λ$ , $mex (λ)$ , is the smallest positive integer that is not a part of $λ$ . For a positive integer $n$ , $σ mex (n)$ denotes the sum…

math.CO2019★ 39 cited

Fast algorithm for generating ascending compositions

Mircea Merca

In this paper we give a fast algorithm to generate all partitions of a positive integer $n$ . Integer partitions may be encoded as either ascending or descending compositions for th…