# Combinatorics and progressions

 arithmetic? Checks if a progression is arithmetic binomial Binomial number category Category (arithmetic, geometric...) of a progression combinations Number of combinations combinations_with_repetitions Number of combinations with repetitions composition Composition of two permutations constant_sequence Create a constant sequence convergent? Checks if a series is convergent cycles_representation Representation of a permutation by cycles distribution Distribution of the elements in a divisor double_factorial Double factorial operation factorial Factorial operation fibonacci Fibonacci numbers geometric_progression Geometric progression constructor identity? Checks if a permutation is the identity identity Constructs the identity permutation jacobi Jacobi symbol legendre Legendre symbol lucas Lucas numbers order Order of a permutation permutation Constructs a permutation permutations Permutations of a set permutations_with_repetitions Permutations with repetitions of a set polynomic? Checks if a progression is polynomic progression Constructs a progression ratio Ratio of a geometric progression sequence Constructs a sequence sign Sign of a permutation step Step of a sequence tartaglia Tartaglia triangle's row transposition Transposition permutation variations Variations of a set variations_with_repetition Variations with repetitions of a set vector Permutation to vector converter zeros Sequence of zeros