(x+y)^n
(x+y)2
x2+2xy+y2
level 2
1 2 1
(2x+y)2
4x2+4xy+y4
Arist: x
x3
(x+y)4
x4+4x3y+6x2y2+4xy3+y4
Level 4
1 4 6 4 1
(x2+y3)2
x4+2x2y3+y6
Arist: x+1
x3+3x2+3x+1
(x+y)7
x7+7x6y+21x5y2+35x4y3+35x3y4+21x2y5+7xy6+y7
Level 5
(x+5y)3
x3+15x2y+75xy2+125y3
Arist: x+2
x3+6x2+12x+8
(x+y)8
x8+8x7y+28x6y2+56x5y3+70x4y4+56x3y5+28x2y6+8xy7+y8
Level 7
1, 7,21,35,35,21,7,1
(3x+y5)2
9x2+6xy5+y10
Arist: m+n
m3+3m2n+3mn2+n3
(x+y)10
x10+10x9y+45x8y2+120x7y3+210x6y4+252x5y5+210x4y6+120x3y7+45x2y8+10xy9+y10
Level 10
1,10,45,120,210,252,210,120,45,10,1
(2m3+5n3)3
8m9+60m6n3+150m3n6+125n9
Arist: m+x2
m3+3m2x2+3mx4+x6