Paydarpaii bargardanda

Paydarpaii bargardanda, p a y d a r paii   rekurrenti, paydarpaii a₀, a a₂, …-ro guyand, ki az rui tanosubi

^ap+r + ^s1^ap+r-1 + … + ^Sr^ap = ⁰ (^S Sr — adadhoi doimi) muayyan me­shavand. Az rui in tanosub r-to uzvi avvali paydarpairo donista, uzvhoi boqimondaro hisob kardan mumkin ast. Paydarpaii Fibonachchi 1, 1, 2, 3, 5, … (a₀ = 1, a₍ =1, …,

^DP+2 = <*p+» + ^ap)

misoli klassikii Paydarpaii bargardanda meboshad. Paydoishi istilohi «Paydarpaii bargardanda» bo nomi A. Muavr aloqamand ast, ki u qatorhoi  bargardanda gufta qatorhoi darajagiroo+a^+aakh²-!-…- ro mefahmid, ki koeffisienthoyashon Paydarpaii  bargardandaro tashkil medi hand. In guna qatorho hamesha funksiyahoi rasionaliro ifoda menamoyand.