On the behavior of a variant of Hofstadter's -sequence.
On the birthday problem: Some generalizations and applications.
On the Borel-Cantelli Lemma and moments
We present some extensions of the Borel-Cantelli Lemma in terms of moments. Our result can be viewed as a new improvement to the Borel-Cantelli Lemma. Our proofs are based on the expansion of moments of some partial sums by using Stirling numbers. We also give a comment concerning the results of Petrov V.V., A generalization of the Borel-Cantelli Lemma, Statist. Probab. Lett. 67 (2004), no. 3, 233–239.
On the central coefficients of Bell matrices.
On the combinatorics of permutations. (Zur Kombinatorik von Permutationen.)
On the construction of non-isomorphic Steiner quadruple systems
On the counting of fully packed loop configurations: some new conjectures.
On the density of languages representing finite set partitions.
On the diagram of Schröder permutations.
On the discrepancy of coloring finite sets.
On the distribution of modulo p
On the distribution of depths in increasing trees.
On the distribution of the -Euler polynomials and the -Genocchi polynomials of higher order.
On the divisibility of generalized central trinomial coefficients.
On the dominance partial ordering of Dyck paths.
On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions.
On the edge set of graphs of lattice paths.
On the entropy and letter frequencies of ternary square-free words.
On the enumeration of a class of plane multigraphs.
On the equivalence of addition formula of lattice paths and the Kolmogorov equation of birth and death processes.