For three families of nonlinear recurrences, the paper gives asymptotic expansions and high-precision numerical constants, including a new reciprocity relation for the q=3/2 case.
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Exercises in Iterational Asymptotics
For three families of nonlinear recurrences, the paper gives asymptotic expansions and high-precision numerical constants, including a new reciprocity relation for the q=3/2 case.