Range

Range[ min, max, step ] creates a list of evenly spaced numbers.

Usages

`Range[ n ]`

Range[ n ] returns the list {1, 2, ..., n}.

Example	in	out
The numbers `1` to `5`.	`Range[ 5 ]`	`{1, 2, 3, 4, 5}`
A script variable.	`n := 4 r := Range[n]`	`r = {1, 2, 3, 4}`

`Range[ min, max ]`

Range[ min, max ] returns the numbers from min to max, in steps of 1.

Example	in	out
The numbers `2` to `5`.	`Range[ 2, 5 ]`	`{2, 3, 4, 5}`
A decimal start value; `max` is not reached.	`Range[ 0.5, 2 ]`	`{0.5, 1.5}`

`Range[ min, max, step ]`

Range[ min, max, step ] starts at min and adds step as long as the result does not pass max. The step can be negative, to count down, and can be a decimal number.

Example	in	out
Multiples of `5`.	`Range[ 0, 20, 5 ]`	`{0, 5, 10, 15, 20}`
Counting down.	`Range[ 10, 1, -3 ]`	`{10, 7, 4, 1}`
Decimal steps.	`Range[ 0, 1, 0.25 ]`	`{0, 0.25, 0.5, 0.75, 1}`
`max` is only included if it is reached exactly.	`Range[ 1, 2, 0.3 ]`	`{1, 1.3, 1.6, 1.9}`

Details

At most 100 elements: Range[ 1, 101 ] gives the error Range: prevented generating 101 elements. Maximum is 100.
Counting down requires a negative step: Range[ 5, 1 ] gives an error, Range[ 5, 1, -1 ] gives {5, 4, 3, 2, 1}.

Invalid input	Result
`Range[ 0 ]`, `Range[ -3 ]`, `Range[ 5, 1 ]`, `Range[ 1, 5, -1 ]`	Error: the sign of the third argument is inconsistent with the first two arguments
`Range[ 1, 5, 0 ]`	Error: the third argument should not be 0
`Range[ x ]`	Left unevaluated: the arguments must be numbers.

See also: ConstantArray, For, Map, RandomInt