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Wolfram Language & System Documentation Center
Table
  • See Also
    • Range
    • DiagonalMatrix
    • IdentityMatrix
    • Array
    • Do
    • Sum
    • Product
    • NestList
    • NestWhileList
    • SparseArray
    • RecurrenceTable
    • BooleanTable
    • DiscretePlot
    • ParallelTable
    • ConstantArray
    • StringRepeat
    • FindRepeat
  • Related Guides
    • Constructing Matrices
    • Operations on Vectors
    • Constructing Lists
    • Tensors
    • List Manipulation
    • Integer Sequences
    • Creating & Importing Signals
    • Handling Arrays of Data
  • Workflows
    • Create a Matrix
  • Tech Notes
    • Repetitive Operations
    • Making Tables of Values
    • Evaluation in Iteration Functions
    • Vectors and Matrices
    • Tensors
    • See Also
      • Range
      • DiagonalMatrix
      • IdentityMatrix
      • Array
      • Do
      • Sum
      • Product
      • NestList
      • NestWhileList
      • SparseArray
      • RecurrenceTable
      • BooleanTable
      • DiscretePlot
      • ParallelTable
      • ConstantArray
      • StringRepeat
      • FindRepeat
    • Related Guides
      • Constructing Matrices
      • Operations on Vectors
      • Constructing Lists
      • Tensors
      • List Manipulation
      • Integer Sequences
      • Creating & Importing Signals
      • Handling Arrays of Data
    • Workflows
      • Create a Matrix
    • Tech Notes
      • Repetitive Operations
      • Making Tables of Values
      • Evaluation in Iteration Functions
      • Vectors and Matrices
      • Tensors

Table[expr,n]

generates a list of n copies of expr.

Table[expr,{i,imax}]

generates a list of the values of expr when i runs from 1 to imax.

Table[expr,{i,imin,imax}]

starts with i=imin.

Table[expr,{i,imin,imax,di}]

uses steps di.

Table[expr,{i,{i1,i2,…}}]

uses the successive values i1, i2, ….

Table[expr,{i,imin,imax},{j,jmin,jmax},…]

gives a nested list. The list associated with i is outermost. »

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Generalizations & Extensions  
Applications  
Properties & Relations  
Display of Tables  
Relations to Other Functions  
Nested Tables  
Programmatic Table Construction  
Possible Issues  
See Also
Tech Notes
Related Guides
Related Workflows
Related Links
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • Range
    • DiagonalMatrix
    • IdentityMatrix
    • Array
    • Do
    • Sum
    • Product
    • NestList
    • NestWhileList
    • SparseArray
    • RecurrenceTable
    • BooleanTable
    • DiscretePlot
    • ParallelTable
    • ConstantArray
    • StringRepeat
    • FindRepeat
  • Related Guides
    • Constructing Matrices
    • Operations on Vectors
    • Constructing Lists
    • Tensors
    • List Manipulation
    • Integer Sequences
    • Creating & Importing Signals
    • Handling Arrays of Data
  • Workflows
    • Create a Matrix
  • Tech Notes
    • Repetitive Operations
    • Making Tables of Values
    • Evaluation in Iteration Functions
    • Vectors and Matrices
    • Tensors
    • See Also
      • Range
      • DiagonalMatrix
      • IdentityMatrix
      • Array
      • Do
      • Sum
      • Product
      • NestList
      • NestWhileList
      • SparseArray
      • RecurrenceTable
      • BooleanTable
      • DiscretePlot
      • ParallelTable
      • ConstantArray
      • StringRepeat
      • FindRepeat
    • Related Guides
      • Constructing Matrices
      • Operations on Vectors
      • Constructing Lists
      • Tensors
      • List Manipulation
      • Integer Sequences
      • Creating & Importing Signals
      • Handling Arrays of Data
    • Workflows
      • Create a Matrix
    • Tech Notes
      • Repetitive Operations
      • Making Tables of Values
      • Evaluation in Iteration Functions
      • Vectors and Matrices
      • Tensors

Table

Table[expr,n]

generates a list of n copies of expr.

Table[expr,{i,imax}]

generates a list of the values of expr when i runs from 1 to imax.

Table[expr,{i,imin,imax}]

starts with i=imin.

Table[expr,{i,imin,imax,di}]

uses steps di.

Table[expr,{i,{i1,i2,…}}]

uses the successive values i1, i2, ….

Table[expr,{i,imin,imax},{j,jmin,jmax},…]

gives a nested list. The list associated with i is outermost. »

Details

  • You can use Table to build up vectors, matrices, tensors, and other arrays.
  • Table uses the standard Wolfram Language iteration specification.
  • Table evaluates its arguments in a nonstandard way.
  • Table[expr,spec] first evaluates spec, then localizes the variable specified and successively assigns values to it, each time evaluating expr.
  • Table effectively uses Block to localize values or variables.
  • Table[expr,spec1,spec2] is effectively equivalent to Table[Table[expr,spec2],spec1].
  • Parallelize[Table[expr,iter]] or ParallelTable[expr,iter] computes Table[expr,iter] in parallel on all subkernels. »

Examples

open all close all

Basic Examples  (6)

A table of the first 10 squares:

A table with running from 0 to 20 in steps of 2:

A list of 10 's:

Make a 4×3 matrix:

Plot a table:

Arrange a table in a column:

Scope  (6)

The index in the table can run backward:

Make a triangular array:

Make a 3×2×4 array, or tensor:

Iterate over an existing list:

Make an array from existing lists:

Table evaluates the expression separately each time:

Generalizations & Extensions  (3)

The table index can have symbolic values:

The variables need not just be symbols:

ParallelTable computes Table in parallel:

Table can be parallelized automatically, effectively using ParallelTable:

Applications  (4)

Make a table of graphics:

Generate the corners of a polygon:

Make Pascal's triangle:

Compare font sizes from 10 points to 20 points:

Properties & Relations  (13)

Display of Tables  (5)

Use ListPlot, ListLinePlot and similar functions to visualize numeric tables:

Use Grid to format a two-dimensional table:

Two-dimensional numeric tables can be visualized with ArrayPlot and MatrixPlot:

Print the values of the table index while the table is being generated:

Monitor the values by showing them in a temporary cell:

Relations to Other Functions  (5)

Range gives the sequence of values of a table iterator:

Do evaluates the same sequence of expressions as Table, but does not return them:

Sum effectively applies Plus to results from Table:

Array iterates over successive integers:

Map applies a function to successive elements in a list:

Table can substitute successive elements in a list into an expression:

Nested Tables  (1)

Using multiple iteration specifications is equivalent to nesting Table functions:

Programmatic Table Construction  (2)

Feed in parameters for tables:

Use Apply to splice a complete iterator specification into Table:

With can insert the specification for a single iterator:

Possible Issues  (6)

For some step sizes, output from Table may not include the upper limit given:

Table requires list iterator specifications to be given explicitly:

Forcing early evaluation of the list resolves the issue:

Alternatively, using With to lexically replace p with its list form:

Table normally reevaluates at each step:

The Evaluate is needed to force evaluation of the table before it is fed to Plot:

Compare with:

Values of Table variables do not get substituted inside held expressions:

Use With to insert values:

Formatting wrappers such as Grid give expressions that are no longer lists:

See Also

Range  DiagonalMatrix  IdentityMatrix  Array  Do  Sum  Product  NestList  NestWhileList  SparseArray  RecurrenceTable  BooleanTable  DiscretePlot  ParallelTable  ConstantArray  StringRepeat  FindRepeat

Function Repository: TableWhile  FlatTable

Tech Notes

    ▪
  • Repetitive Operations
  • ▪
  • Making Tables of Values
  • ▪
  • Evaluation in Iteration Functions
  • ▪
  • Vectors and Matrices
  • ▪
  • Tensors

Related Guides

    ▪
  • Constructing Matrices
  • ▪
  • Operations on Vectors
  • ▪
  • Constructing Lists
  • ▪
  • Tensors
  • ▪
  • List Manipulation
  • ▪
  • Integer Sequences
  • ▪
  • Creating & Importing Signals
  • ▪
  • Handling Arrays of Data

Related Workflows

    Related Workflows
    ▪
  • Create a Matrix

Related Links

  • Fast Introduction for Programmers: Lists
  • Fast Introduction for Programmers: Iterators
  • An Elementary Introduction to the Wolfram Language : Operations on Lists
  • NKS|Online  (A New Kind of Science)

History

Introduced in 1988 (1.0) | Updated in 2015 (10.2)

Wolfram Research (1988), Table, Wolfram Language function, https://reference.wolfram.com/language/ref/Table.html (updated 2015).

Text

Wolfram Research (1988), Table, Wolfram Language function, https://reference.wolfram.com/language/ref/Table.html (updated 2015).

CMS

Wolfram Language. 1988. "Table." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/Table.html.

APA

Wolfram Language. (1988). Table. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Table.html

BibTeX

@misc{reference.wolfram_2025_table, author="Wolfram Research", title="{Table}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/Table.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_table, organization={Wolfram Research}, title={Table}, year={2015}, url={https://reference.wolfram.com/language/ref/Table.html}, note=[Accessed: 01-December-2025]}

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