The first three terms in the expansion of 1+x+x210 are
1,5x,11x2
1,10x,15x2
1,10x,55x2
1,15x,50x2
1+x+x210=10C0(1+x)10+10C1(1+x)9x2+..=1+10C1x+10C2x2+..+101+9C1x+9C2x2+..x2=1+10x+55x2+..