Left factorials: Difference between revisions

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{{FormulaeEntry|page=https://formulae.org/?script=examples/Left_factorials}}
{{FormulaeEntry|page=https://formulae.org/?script=examples/Left_factorials}}

'''Solution'''

The following function calculates the left factorial directly by its definition:

[[File:Fōrmulæ - Left factorials 08.png]]

However, the following is much faster:

[[File:Fōrmulæ - Left factorials 01.png]]

'''Test case 1. Showing left factorials from zero to ten'''

[[File:Fōrmulæ - Left factorials 02.png]]

[[File:Fōrmulæ - Left factorials 03.png]]

'''Test case 2. Showing left factorials from 20 to 110, by tens'''

[[File:Fōrmulæ - Left factorials 04.png]]

[[File:Fōrmulæ - Left factorials 05.png|858px]]

'''Test case 3. Showing length of left factorials, from 1,000 to 10,000 by thousands'''

[[File:Fōrmulæ - Left factorials 06.png]]

[[File:Fōrmulæ - Left factorials 07.png]]


=={{header|Frink}}==
=={{header|Frink}}==