The Wolfram Language provides powerful functions for constructing lists of any size and structure.

Range — form a list from a range of numbers or other objects {1,2,3,…}

Table — make a table of any dimension of values of an expression

Array — make an array of any dimension by applying a function to successive indices

ConstantArray — form of a constant array of any dimension

CenterArray — embed an array at the center of another array of any dimension

Subdivide — a list of equal subdivisions of an interval

CoordinateBoundsArray , CoordinateBoundingBoxArray — regular grids

SparseArray , Normal — create a list from a sparse array positionvalue specification

PowerRange — form a list of successive powers in a specified range

Tuples — all possible n-tuples from a list

Subsets   ▪ Subsequences   ▪ Permutations   ▪ Groupings   ▪ Outer

RandomInteger , RandomChoice , ... — make lists of random elements

Lists from Iteration

NestList — create a list by successively iterating a function

FixedPointList   ▪ NestWhileList   ▪ Append   ▪ AppendTo

Sow , Reap — create lists of elements "sown" inside programs

IntegerDigits , RealDigits — make lists from digits in numbers

CoefficientList , CoefficientArrays — make lists from polynomials or equations

Characters — make a list from the characters in a string

CharacterRange — a list of a range of characters (e.g. "a" through "z")

ReplaceList — make a list of possible pattern replacements

Importing Data as Lists

Import   ▪ ReadList   ▪ BinaryReadList   ▪ FindList   ▪ FileNames

Related Tech Notes

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• Constructing Lists
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• Vectors and Matrices
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• Applying Functions Repeatedly
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• Building Lists from Functions
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• Reading Textual Data

Related Guides

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• Constructing Matrices
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• List Manipulation

Related Links

• Fast Introduction for Programmers: Lists