Square Triangular Number Calculator

Square Triangular Number Calculator

Square Triangular Number Calculator is used to calculate a square triangular number if a given number is both a square number and a triangular number.

What is the square triangular number?

A square triangular number is a number that is simultaneously a square number and a triangular number. It is sometimes referred to as a square triangular or triangular square number.

A square number is a sum that forms a perfect square when an integer is multiplied by itself. The fact that 4, 9, and 16 may be written as 22, 32, and 42, respectively, makes them square numbers.

Formula

Square Triangular Number (N_k) = (1/32) × ((17+12√2) k + (17−12√2) k − 2)

Example section:

In this section with the help of some results, the tool will be explained.

Example 1

Calculate the square rectangular number of a real number 3

Solution

N_k = (1/32) × ((17+12√2) ^k + (17−12√2) ^k − 2)

N₃ = (1/32) × ((17+12√2) ³ + (17−12√2) ³ − 2)

N₃ = 1225

Example 2

Determine the square rectangular number of a real number 5

Solution

N_k = (1/32) × ((17+12√2) ^k + (17−12√2) ^k − 2)

N₅ = (1/32) × ((17+12√2) ⁵ + (17−12√2) ⁵ − 2)

N₅ = 1413721

Here are a few more results of square rectangular numbers.