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MMO 125 Moscow MO 1947 coefficients of x^{17} and x^{18} from (1+x^5+x^7)^{20}

Source:

July 20, 2019
polynomialcoefficientsalgebra

Problem Statement

Find the coefficients of x17x^{17} and x18x^{18} after expansion and collecting the terms of (1+x5+x7)20(1+x^5+x^7)^{20}.