Results 31 to 40 of about 357 (66)
Sums of quadratic half integer harmonic numbers of alternating type
, 2016 Half integer values of quadratic harmonic numbers and reciprocal binomial coefficients sums are investigated in this paper. Closed form representations of double integral expressions are developed in terms of special functions.
A. Sofo
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A generalization of the "probléme des rencontres" [PDF]
, 2018 In this paper, we study a generalization of the classical \emph{probl\'eme des rencontres} (\emph{problem of coincidences}), consisting in the enumeration of all permutations $ \pi \in \SS_n $ with $k$ fixed points, and, in particular, in the ...
Capparelli, Stefano +3 more
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Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
, 2013 In this paper, we derive some identities of Bernoulli, Euler, and Abel polynomials arising from umbral calculus.MSC:05A10, 05A19.
Dae San Kim +3 more
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Pattern Count on Multiply Restricted Permutations [PDF]
, 2013 Previous work has studied the pattern count on singly restricted permutations. In this work, we focus on patterns of length 3 in multiply restricted permutations, especially for double and triple pattern-avoiding permutations. We derive explicit formulae
Zhao, Alina F. Y.
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Ascent Sequences Avoiding Pairs of Patterns [PDF]
, 2014 Ascent sequences were introduced by Bousquet-Melou et al. in connection with (2+2)-avoiding posets and their pattern avoidance properties were first considered by Duncan and Steingrímsson.
Baxter, Andrew M, Pudwell, Lara
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Pattern Popularity in 132-Avoiding Permutations [PDF]
, 2012 The popularity of a pattern p is the total number of copies of p within all permutations of a set. We address popularity in the set of 132-avoidng permutations.
Rudolph, Kate
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. We study the descent distribution over the set of centrosymmetric permutations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre x of length 2n to every ...
Flavio Bonetti +2 more
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The Eulerian numbers on restricted centrosymmetric permutations
, 2009 We study the descent distribution over the set of centrosymmetric permutations that avoid the pattern of length 3. Our main tool in the most puzzling case, namely, $\tau=123$ and $n$ even, is a bijection that associates a Dyck prefix of length $2n$ to ...
Barnabei, Marilena +2 more
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Set-Valued Tableaux & Generalized Catalan Numbers
, 2017 Standard set-valued Young tableaux are a generalization of standard Young tableaux in which cells may contain more than one integer, with the added conditions that every integer at position $(i,j)$ must be smaller than every integer at positions $(i,j+1)$
Drube, Paul
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