General Eulerian Numbers and Eulerian Polynomials

Table 2

First values of 𝑞− Eulerian numbers 𝐴_𝑛,𝑘(𝑞).

	k =
	0	1	2	3
n = 1	1
2	𝑞	1
3	𝑞^3	2𝑞^2+2𝑞	1
4	𝑞^6	3𝑞^5+5𝑞^4+3𝑞^3	3𝑞^3+5𝑞^2+3𝑞	1