On the Preservation of Infinite Divisibility under Length-Biasing

Table 1

Values of the polynomials defined by (56).

𝑛	𝑄𝑛(𝑤)
1	1
2	3+2𝑤
3	16+19𝑤+6𝑤^2
4	125+204𝑤+118𝑤^2+24𝑤^3
5	1296+2633𝑤+2128𝑤^2+806𝑤^3+120𝑤^4