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. 
@article{DM_2010_22_4_a10,
     author = {V. A. Voblyi},
     title = {The asymptotics of the number of repetition-free {Boolean} functions in the basis~$B_1$},
     journal = {Diskretnaya Matematika},
     pages = {156--157},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_4_a10/}
}
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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/