A hybrid of Darboux's method and singularity analysis in combinatorial asymptotics.
Flajolet, Philippe, Fusy, Eric, Gourdon, Xavier, Panario, Daniel, Pouyanne, Nicolas (2006)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Airy phenomena and analytic combinatorics of connected graphs.”
A hybrid of Darboux's method and singularity analysis in combinatorial asymptotics.
Enumeration and asymptotic properties of unlabeled outerplanar graphs.
Bodirsky, Manuel, Fusy, Eric, Kang, Mihyun, Vigerske, Stefan (2007)
The Electronic Journal of Combinatorics [electronic only]
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Enumerative problems inspired by Mayer's theory of cluster integrals.
Leroux, Pierre (2004)
The Electronic Journal of Combinatorics [electronic only]
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Maximum Stirling numbers of the second kind.
Kemkes, Graeme, Merlini, Donatella, Richmond, Bruce (2008)
Integers
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Combinatorics and cluster expansions.
Faris, William G. (2010)
Probability Surveys [electronic only]
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The number of graphs not containing as a minor.
Gerke, Stefanie, Giménez, Omer, Noy, Marc, Weißl, Andreas (2008)
The Electronic Journal of Combinatorics [electronic only]
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Hayman admissible functions in several variables.
Gittenberger, Bernhard, Mandlburger, Johannes (2006)
The Electronic Journal of Combinatorics [electronic only]
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How frequently is a system of 2-linear Boolean equations solvable?
Pittel, Boris, Yeum, Ji-A (2010)
The Electronic Journal of Combinatorics [electronic only]
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The number of labeled 2-connected planar graphs.
Bender, Edward A., Gao, Zhicheng, Wormald, Nicholas C. (2002)
The Electronic Journal of Combinatorics [electronic only]
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Asymptotic expansions and positivity of coefficients for large powers of analytic functions.
De Angelis, Valerio (2003)
International Journal of Mathematics and Mathematical Sciences
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On a function, which is a special case of Meijer’s -function
J. Boersma (1962-1964)
Compositio Mathematica
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On the sum of digits of some sequences of integers
Javier Cilleruelo, Florian Luca, Juanjo Rué, Ana Zumalacárregui (2013)
Open Mathematics
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Let b ≥ 2 be a fixed positive integer. We show for a wide variety of sequences {a n}n=1∞ that for almost all n the sum of digits of a n in base b is at least c b log n, where c b is a constant depending on b and on the sequence. Our approach covers several integer sequences arising from number theory and combinatorics.