Geodesic
Estimates for the number of Boolean functions realized by an initial Boolean automaton with three constant states
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 19-28

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The problem of realization of Boolean functions by initial Boolean automata with constant states and $n$ inputs is considered. Initial Boolean automaton with constant states and $n$ inputs is an initial automaton with output such that in all states output functions are $n$-ary constant Boolean functions $0$ or $1$. The exact value of the maximum number of $n$-ary Boolean functions, where $n > 1$, realized by an initial Boolean automaton with three constant states and $n$ inputs is obtained. 
@article{VMUMM_2017_2_a3,
     author = {L. N. Sysoeva},
     title = {Estimates for the number of {Boolean} functions realized by an initial {Boolean} automaton with three constant states},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {19--28},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a3/}
}
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L. N. Sysoeva. Estimates for the number of Boolean functions realized by an initial Boolean automaton with three constant states. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 19-28. http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a3/