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1947 Moscow Mathematical Olympiad
125
MMO 125 Moscow MO 1947 coefficients of x^{17} and x^{18} from (1+x^5+x^7)^{20}
MMO 125 Moscow MO 1947 coefficients of x^{17} and x^{18} from (1+x^5+x^7)^{20}
Source:
July 20, 2019
polynomial
coefficients
algebra
Problem Statement
Find the coefficients of
x
17
x^{17}
x
17
and
x
18
x^{18}
x
18
after expansion and collecting the terms of
(
1
+
x
5
+
x
7
)
20
(1+x^5+x^7)^{20}
(
1
+
x
5
+
x
7
)
20
.
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