A congruential identity and the 2-adic order of lacunary sums of binomial coefficients.
A Connell-like sequence.
A construction for sets of integers with distinct subset sums.
A continuous family of automata : the Ising automata
A contribution to infinite disjoint covering systems
Let the collection of arithmetic sequences be a disjoint covering system of the integers. We prove that if for some primes and integers , then there is a such that . We conjecture that the divisibility result holds for all moduli.A disjoint covering system is called saturated if the sum of the reciprocals of the moduli is equal to . The above conjecture holds for saturated systems with such that the product of its prime factors is at most .
A counterexample to a conjecture of Erdős, Graham and Spencer.
A criterion for non-automaticity of sequences.
A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series
A curious bijection on natural numbers.
A curious identity involving binomial coefficients.
A curious property of series involving terms of generalized sequences.
A Cuspidal Class Number Formula for the Modular Curves X1(N).
A de Casteljau algorithm for -Bernstein-Stancu polynomials.
A density estimate for the problem
A different -analogue of Euler numbers. (Un autre -analogue des nombres d'Euler.)
A discrete Fourier kernel and Fraenkel's tiling conjecture
A Disproof of a Conjecture of Robertson and Generalizations
A Distribution Property of the Sequences of Lucas Numbers.
A family of meta-Fibonacci sequences defined by variable-order recursions.
A few new facts about the EKG sequence.