The generating functions for Av(4123,4231,4312) and Av(4123,4312) are shown to be non-D-finite, with proven exponential and n^{-3/2} coefficient asymptotics.
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$q$-Difference Equations for two classes of Pattern Avoiding Permutations
The generating functions for Av(4123,4231,4312) and Av(4123,4312) are shown to be non-D-finite, with proven exponential and n^{-3/2} coefficient asymptotics.