# Category:Triangular Numbers

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This category contains results about Triangular Numbers.

Definitions specific to this category can be found in Definitions/Triangular Numbers.

**Triangular numbers** are those denumerating a collection of objects which can be arranged in the form of an equilateral triangle.

## Subcategories

This category has the following 12 subcategories, out of 12 total.

### C

### E

### F

### I

### R

### S

### T

## Pages in category "Triangular Numbers"

The following 64 pages are in this category, out of 64 total.

### C

### I

### P

- Palindromic Indices of Palindromic Triangular Numbers
- Palindromic Triangular Numbers
- Palindromic Triangular Numbers whose Index is Palindromic
- Palindromic Triangular Numbers with Palindromic Halves
- Palindromic Triangular Numbers with Palindromic Index
- Pentagonal Number as Sum of Triangular Numbers
- Product of Consecutive Triangular Numbers
- Product of Two Triangular Numbers to make Square

### S

- Second Column and Diagonal of Pascal's Triangle consist of Triangular Numbers
- Smallest Number Expressible as Sum of at most Three Triangular Numbers in 4 ways
- Square of Odd Multiple of 3 is Difference between Triangular Numbers
- Square of Odd Number as Difference between Triangular Numbers
- Square of Triangular Number equals Sum of Sequence of Cubes
- Square of Triangular Numbers as Sum of Triangular Numbers
- Square Product of Three Consecutive Triangular Numbers
- Square Pyramidal and Triangular Numbers
- Square Sum of Three Consecutive Triangular Numbers
- Sufficient Condition for Square of Product to be Triangular
- Sum of Adjacent Sequences of Triangular Numbers
- Sum of Consecutive Triangular Numbers is Square
- Sum of Sequence of Fifth Powers
- Sum of Sequence of Reciprocals of Triangular Numbers
- Sum of Sequence of Triangular Numbers

### T

- Tetrahedral and Triangular Numbers
- Triangular Fermat Number
- Triangular Fibonacci Numbers
- Triangular Lucas Numbers
- Triangular Number as Alternating Sum and Difference of Squares
- Triangular Number cannot be Cube
- Triangular Number cannot be Fifth Power
- Triangular Number cannot be Fourth Power
- Triangular Number Modulo 3 and 9
- Triangular Number Pairs with Triangular Sum and Difference
- Triangular Number whose Square is Triangular
- Triangular Numbers in Geometric Progression
- Triangular Numbers which are also Pentagonal
- Triangular Numbers which are also Square
- Triangular Numbers which are also Square/Sequence
- Triangular Numbers which are Product of 3 Consecutive Integers
- Triangular Numbers which are Sum of Two Cubes
- Triple of Triangular Numbers whose Pairwise Sums are Triangular