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Square Triangular Number Calculator
Insert the value of any non-negative real number and get the square triangular number using 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)
N_{3} = (1/32) × ((17+12√2)^{ 3} + (17−12√2)^{ 3} − 2)
N_{3} = 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)
N_{5} = (1/32) × ((17+12√2)^{ 5} + (17−12√2)^{ 5} − 2)
N_{5} = 1413721
Here are a few more results of square rectangular numbers.
Real number | Square rectangular number |
21 | 48024900 |
4 | 41616 |
6 | 48024900 |
2 | 36 |
7 | 1631432881 |
8 | 55420693056 |
9 | 1882672131025 |