$F_i=n {m-i \choose n-1}$
where $m \ge n, 1 \le i \le m-n+1$
For instance, if $m=10, n=5$, I can draw a line graph.
$F_i=n {m-i \choose n-1}$
where $m \ge n, 1 \le i \le m-n+1$
For instance, if $m=10, n=5$, I can draw a line graph.
Except for the factor $n$, it is (reversed) a certain column in Pascal's triangle. Your example is $5{j\choose 4}$ for $j$ from $0$ to $9$. In your picture $j$ numbers it from right to left, while numbers it $i$ from left to right.