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total number of valence electrons of monatomic anions

Result

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

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