Catalan constant is also now expressed in terms of consecutive number model.
Below is the expression
Importance of Catalan constant - Even numbers are the number system itself. Just multiplied by two. Odd numbers are different. So odd numbers give brilliant results like Madhava's pi by 4. Now, squares of odd numbers are important because square of a number, I feel are better representations than to the power one of a number. So, the point to know is 1 by squares of odd numbers and alternately negated is very important and is called Catalan constant. And consecutive numbers are able to represent Catalan constant.
Have a nice day !!

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