设an_{n}n=1n(n+1)\frac{1}{n\left(n+1\right)}n(n+1)1（n为正整数），则a1_{1}1+a2_{2}2+……+a2022_{2022}2022的值____1.
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设an_{n}n=2n22n+1−2n+1−2n+1\dfrac{2^{n}}{2^{2n+1}-2^{n+1}-2^{n}+1}22n+1−2n+1−2n+12n（n为正整数），则a1_{1}1+a2_{2}2+……+a2022_{2022}2022的值____1.