# Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
WOLFRAM LANGUAGE GUIDE

# Integer Sequences

The symbolic character of the Wolfram Language makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and explicit lists of values. Powerful new algorithms developed at Wolfram Research make possible recognition of functional forms for an extremely wide range of classes of integer sequences.

## ReferenceReference

### Sequence Generation

Table generate a sequence from a formula

RecurrenceTable generate a sequence from a recurrence or functional equation

LinearRecurrence generate a linear recurrence sequence

### Sequence Recognition

FindLinearRecurrence find, if possible, a linear recurrence for a sequence

FindSequenceFunction find general functional forms for integer sequences

FindTransientRepeat find transient and repeating part of a sequence

### Generating Functions

FindGeneratingFunction find generating functions for integer sequences

Fibonacci, LucasL Fibonacci and Lucas numbers and polynomials

DifferenceRoot general representation of solutions to linear difference equations