# Category:Closed Forms

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This category contains results about **Closed Forms**.

An expression is a **closed-form expression** if and only if it can be expressed in terms of a bounded number of elementary functions.

Informally is it in apposition to a recurrence relation, which defines a sequence of terms from earlier terms in that sequence.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Closed Forms"

The following 18 pages are in this category, out of 18 total.

### C

- Closed Form for Heptagonal Numbers
- Closed Form for Heptagonal Pyramidal Numbers
- Closed Form for Hexagonal Numbers
- Closed Form for Hexagonal Pyramidal Numbers
- Closed Form for Lucas Numbers
- Closed Form for Number of Derangements on Finite Set
- Closed Form for Octagonal Numbers
- Closed Form for Pentagonal Numbers
- Closed Form for Pentagonal Pyramidal Numbers
- Closed Form for Pentatope Numbers
- Closed Form for Polygonal Numbers
- Closed Form for Polygonal Numbers/Examples
- Closed Form for Sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ...
- Closed Form for Square Pyramidal Numbers
- Closed Form for Tetrahedral Numbers
- Closed Form for Triangular Numbers