Sequence Definitions
Fibonacci: Each number is the sum of the two preceding ones (0, 1, 1, 2, 3, 5, 8, ...)
Prime Numbers: Natural numbers greater than 1 that are only divisible by 1 and themselves
Triangle Numbers: Sum of the first n natural numbers (1, 3, 6, 10, 15, ...)
Square Numbers: Numbers that are the square of an integer (1, 4, 9, 16, ...)
Cube Numbers: Numbers that are the cube of an integer (1, 8, 27, 64, ...)
Arithmetic Sequence: Each term differs from the previous by a constant value
Geometric Sequence: Each term is a constant multiple of the previous term
Collatz Sequence: The Collatz Conjecture is if the number is even, divide it by two; if it's odd, multiply it by three and add one.
Lucas Sequence: Lucas numbers are the sum of the two preceding numbers in the sequence.
Central Polygonal Numbers: The centered polygonal numbers are a class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers of dots with a constant number of sides.
Zekendorf Representation: The nonconsecutive fibonacci numbers that when summed, make up that number