已知等比数列 {an}\left\{ {a}_{n}\right\}{an} 满足 an>0{a}_{n} > 0an>0且 a1a2a3+2a22+a2+a3−a4=1{a}_{1}{a}_{2}{a}_{3} + 2{a}_{2}{}^{2} + {a}_{2} + {a}_{3} - {a}_{4} = 1a1a2a3+2a22+a2+a3−a4=1 ，则 a1{a}_{1}a1 的取值范围是___.