# Odd polynomial

Author: daniyar
Problem has been solved: 95 times

Русский язык | English Language

For a polynomial with integer coefficients $P (x) = a_0 + a_1 \cdot x + ... + a_n \cdot x ^ n$ we define obdiness by the number of odd numbers among $a_0$, $a_1$, ..., $a_n$ . Determine the obdiness of the polynomial $P (x) = (1 + x ^ {2020}) (1 + 2 x + x ^ 2 + 2 x ^ 5 + 2 x ^ 6 + x ^ {10}) ^ {64}$.