A basis of the set of sequences satisfying a given m-th order linear recurrence.
A binomial representation of the 3x + 1 problem
A Catalan transform and related transformations on integer sequences.
A chaotic cousin of Conway's recursive sequence.
A class of 1-additive sequences and quadratic recurrences.
A combinatorial interpretation for certain relatives of the Conolly sequence.
A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series
A family of meta-Fibonacci sequences defined by variable-order recursions.
A formula for the generating functions of powers of Horadam's sequence with two additional parameters.
A function related to the rumor sequence conjecture.
A generalization of a result of André-Jeannin concerning summation of reciprocals.
A generalization of a theorem of Lekkerkerker to Ostrowski's decomposition of natural numbers
A generalization of Cobham's theorem for regular sequences.
A Generalization of Functions !n and n!
A generalization of Lehmer's functions
A generalization of Stirling numbers of the second kind via a special multiset.
A generalization of the binomial interpolated operator and its action on linear recurrent sequences.
A matrix dynamics approach to Golomb's recursion.
A natural prime-generating recurrence.
A new family of Somos-like recurrences.