Geodesic
On the asymptotics of the number of repetition-free Boolean functions in the basis $\{\,\lor,\oplus,\lnot\}$
Diskretnaya Matematika, Tome 27 (2015) no. 3, pp. 158-159

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We obtain an asymptotic formula for the number $S_n$ of repetition-free Boolean functions of $n$ variables in the basis $\{\,\lor,\oplus,\lnot\}$ for $n\to\infty: S_n\sim cn^{-3/2}\alpha^nn!$, where $c\approx0.1998398363\;,\alpha\approx7.549773429\;.$
Keywords: repetition-free Boolean function, enumeration, asymptotics. 
@article{DM_2015_27_3_a10,
     author = {V. A. Voblyi},
     title = {On the asymptotics of the number of repetition-free {Boolean} functions in the basis $\{\&,\lor,\oplus,\lnot\}$},
     journal = {Diskretnaya Matematika},
     pages = {158--159},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_3_a10/}
}
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V. A. Voblyi. On the asymptotics of the number of repetition-free Boolean functions in the basis $\{\&,\lor,\oplus,\lnot\}$. Diskretnaya Matematika, Tome 27 (2015) no. 3, pp. 158-159. http://geodesic.mathdoc.fr/item/DM_2015_27_3_a10/