A bijective proof of .
A characterization of the Bernoulli and Euler polynomials
A combinatorial interpretation for certain relatives of the Conolly sequence.
A complete categorization of when generalized Tribonacci sequences can be avoided by additive partitions.
A concept of Bernoulli numbers in algebraic function fields.
A Concept of Bernoulli Numbers in Algebraic Function Fields (II).
A curious property of series involving terms of generalized sequences.
A Cuspidal Class Number Formula for the Modular Curves X1(N).
A Distribution Property of the Sequences of Lucas Numbers.
A family of meta-Fibonacci sequences defined by variable-order recursions.
A Fibonacci-like sequence of composite numbers.
A formula for the generating functions of powers of Horadam's sequence with two additional parameters.
A generalization of a result of André-Jeannin concerning summation of reciprocals.
A generalization of the binomial interpolated operator and its action on linear recurrent sequences.
A Kummer criterion for imaginary quadratic fields
A matrix dynamics approach to Golomb's recursion.
A new class of -Fibonacci polynomials.
A new Fibonacci-like sequence of composite numbers.
A new statistic on linear and circular -mino arrangements.
A note on -Fibonacci sequences and specially multiplicative arithmetic functions
A specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely -Fibonacci sequences and specially multiplicative prime-independent arithmetic functions, are equivalent in the sense that each can be reconstructed from the other. Replacing one with another, the exploration space of both mathematical objects expands significantly.