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Diskretnaya Matematika, 2010, Volume 22, Issue 4, Pages 156–157
DOI: https://doi.org/10.4213/dm1125 (Mi dm1125) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The asymptotics of the number of repetition-free Boolean functions in the basis $B_1$

V. A. Voblyi
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DOI: https://doi.org/10.4213/dm1125
Abstract: 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.
Received: 18.11.2009
English version:
Discrete Mathematics and Applications, 2010, Volume 20, Issue 5-6, Pages 707–708
DOI: https://doi.org/10.1515/DMA.2010.043
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. A. Voblyi, “The asymptotics of the number of repetition-free Boolean functions in the basis $B_1$”, Diskr. Mat., 22:4 (2010), 156–157; Discrete Math. Appl., 20:5-6 (2010), 707–708
Citation in format AMSBIB
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\by V.~A.~Voblyi
\paper The asymptotics of the number of repetition-free Boolean functions in the basis~$B_1$
\jour Diskr. Mat.
\yr 2010
\vol 22
\issue 4
\pages 156--157
\mathnet{http://mi.mathnet.ru/dm1125}
\crossref{https://doi.org/10.4213/dm1125}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2796795}
\elib{https://elibrary.ru/item.asp?id=20730367}
\transl
\jour Discrete Math. Appl.
\yr 2010
\vol 20
\issue 5-6
\pages 707--708
\crossref{https://doi.org/10.1515/DMA.2010.043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952227060}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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