1 1
2 1 1
3 1 2 1
4 1 3 3 1
5 1 4 6 4 1
6 1 5 10 10 5 1
7 1 6 15 20 15 6 1
without the 2y coefficient it would be :
y^6 + 6 y^5x + 15 y^4x^2 + 20 y^3x^3 + 15 y^2x^4 + 6 yx^5 + x^6
now we need to put in the 2 factors: I hope this is the correct way!
(2^6)y^6 + (6* 2^5) y^5x + (15*2^4) y^4x^2 + (20*2^3) y^3x^3 + (15*2^2) y^2x^4 + (6*2) yx^5 + x^6
64y^6 + 192y^5x + 240y^4x^2 + 160y^3x^3 + 60y^2x^4 + 12yx^5 + x^6