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## On Shifted Legendre Polynomial Coefficients

So here it is: the shifted Legendre polynomial coefficients are:

with $k \leq n$ and $m = 1 \ldots n$, so that

I'd love to hear your ideas of a proof.  Mine is a very particular thorny meticulous one. I may be off on the sign, but the absolute value is right. Let me know!

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