total number of valence electrons of group 3 ions

sum_(k=0)^({8, 8, 1, 9, 0, 1, 9, 8}) x^k = {x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, x + 1, x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, 1, x + 1, x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1}