Geodesic
The asymptotics of the number of repetition-free Boolean functions in the basis~$B_1$
Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 156-157.

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For the number $S_n$ of repetition-free Boolean functions of $n$ variables in the basis $B_1$, it is proved that, as $n\to\infty$, $$ S_n\sim cn^{-3/2}\alpha^nn!, $$ where $c$ and $\alpha$ are some constants. 
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     author = {V. A. Voblyi},
     title = {The asymptotics of the number of repetition-free {Boolean} functions in the basis~$B_1$},
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V. A. Voblyi. The asymptotics of the number of repetition-free Boolean functions in the basis~$B_1$. Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 156-157. http://geodesic.mathdoc.fr/item/DM_2010_22_4_a10/

[1] Vinokurov S. F., Peryazev N. A., Izbrannye voprosy teorii bulevykh funktsii, Fizmatlit, Moskva, 2001 | Zbl

[2] Lavrentev M. A., Shabat B. M., Metody teorii funktsii kompleksnogo peremennogo, Nauka, Moskva, 1965 | MR