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National and Regional Contests
Taiwan Contests
TST Round 3
2016 Taiwan TST Round 3
1
Odd Coefficient
Odd Coefficient
Source: 2016 Taiwan TST Round 3
July 21, 2016
algebra
number theory
polynomial
Problem Statement
Let
n
n
n
be a positive integer. Find the number of odd coefficients of the polynomial
(
x
2
ā
x
+
1
)
n
(x^2-x+1)^n
(
x
2
ā
x
+
1
)
n
.
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