A binomial representation of the 3x + 1 problem
A combinatorial interpretation for a super-Catalan recurrence.
A combinatorial interpretation of the eigensequence for composition.
A combinatorial proof of Sun's “curious” identity.
A common generating function for Catalan numbers and other integer sequences.
A congruence for products of binomial coefficients modulo a composite.
A congruence involving the quotients of Euler and its applications (I)
A congruence involving the quotients of Euler and its applications (II)
A congruential identity and the 2-adic order of lacunary sums of binomial coefficients.
A curious identity involving binomial coefficients.
A de Casteljau algorithm for -Bernstein-Stancu polynomials.
A different -analogue of Euler numbers. (Un autre -analogue des nombres d'Euler.)
A further Extension of a result of Mordell's.
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 new kind of Diophantine equations
A note on Boolean lattices and Farey sequences.
A note on nested sums.
A note on Nörlund-type twisted -Euler polynomials and numbers of higher order associated with fermionic invariant -integrals.