-analogue of some binomial coefficient identities of Y. Sun.
A binomial coefficient identity associated to a conjecture of Beukers.
A binomial representation of the 3x + 1 problem
A combinatorial approach to hyperharmonic numbers.
A combinatorial interpretation for an identity of Barrucand.
A combinatorial interpretation of the numbers .
A combinatorial proof of Sun's “curious” identity.
A common generalization of binomial coefficients, Stirling numbers and Gaussian Coefficientes
A Contribution to the Theory of Permutations
A curious identity involving binomial coefficients.
A divisibility property of binomial coefficients viewed as an elementary sieve.
A Generalization of Functions !n and n!
A generalization of Pascal’s triangle using powers of base numbers
In this paper we generalize the Pascal triangle and examine the connections among the generalized triangles and powering integers respectively polynomials. We emphasize the relationship between the new triangles and the Pascal pyramids, moreover we present connections with the binomial and multinomial theorems.
A generating functions proof of a curious identity.
A natural series for the natural logarithm.
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
A note on nested sums.
A note on the -binomial rational root theorem.
A proof of a conjecture of Knuth.
A Riordan array proof of a curious identity.