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若从小到大排列的连续m+n个正整数a_1,a_2,…,a_(m+n)满足:(a_1~2+a_2~2+…+a_m~2=a_(m+1)~2+a_(m+2)~2+…+a_(m+n)~2).则称其为[m|n]型广义勾股数组,并简记为:(a_1,a_2,…,a_m|a_(m+1),a_(m+2),…,a_(m+n)).本文将给出[λn|n]型广义勾股数组存在的一个必要条件,并在此基础上解决[λn|n](λ∈N_+)型的广义勾股数组.定理1[λn|n]型广义勾股数组存在的一个
If the continuous m + n positive integers a_1, a_2, ..., a_ (m + n) arranged in ascending order satisfy: a_1 ~ 2 + a_2 ~ 2 + ... + a_m ~ 2 = a_ (m + 1) (m + 2) ~ 2 + ... + a_ (m + n) ~ 2), then we call it the [m | n] type generalized Pythagorean array and abbreviated as: (a_1, a_2, ..., a_m | a_ (m + 1), a_ (m + 2), ..., a_ (m + n)). In this paper, we give a necessary condition for the existence of the [λn | n] Solve the Generalized Pythagorean Array of [λn | n] (λ∈N_ +) Type Theorem 1 [λn | n] One of the Existence of a Generalized Pythagorean Array