A little tweak of a special type on three consecutive numbers and it is great as Dirichlet beta function.
And I have used it below to get an expression of the Catalan constant.
So all in all with the consecutive numbers model, I have managed to get expressions for 1, root 2, pi, e, golden ratio, Euler Mascheroni constant, Apery Constant and Catalan constant.
Have a nice day !!
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