OFFSET
0,4
COMMENTS
C(-3,p) is also the speed of the front for an interacting particle system with 4 bins, which corresponds to the particular case of the max-growth system where the probability distribution has two atoms 1 and -3 with respective probabilities p and 1-p.
The first 15 coefficients of this sequence coincide with the first 15 coefficients of A321309.
LINKS
Benjamin Terlat, Table of n, a(n) for n = 0..750
Sergey Foss, Takis Konstantopoulos, Bastien Mallein, and Sanjay Ramassamy, Last passage percolation and limit theorems in Barak-Erdős directed random graphs and related models, arXiv:2312.02884 [math.PR], 2023.
Sergey Foss, Takis Konstantopoulos, Bastien Mallein, and Sanjay Ramassamy, Estimation of the last passage percolation constant in a charged complete directed acyclic graph via perfect simulation, arXiv:2110.01559 [math.PR], 2023.
EXAMPLE
C(-3,x) = 1 + x + x^2 + 3*x^3 + 7*x^4 + 15*x^5 + ...
CROSSREFS
KEYWORD
sign
AUTHOR
Benjamin Terlat, May 23 2024
STATUS
approved