Question: Second Order Differentiation Matrix

How to implement in maple, the differentiation matrix of second order ?
Is it possible to implement it with the command LinearAlgebra[BandMatrix]?

I can not get the matrix:



Lets look at an example using the following set of 8 discrete points (x,y)

(2,5),(4,15),(6,35),(8,65),(10,100),(12,145),(14,195), and (16,255).

Gracias

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