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Gosper's approx

As can be seen, the error grows with n on Gosper's. A correction akin to the following improves it:

new=orig*k, k=(n/7)^k0

I cannot easily paste the result from Excel, but the error is reduced substantially. Of course such a "correction" is purely empirical, not theoretical. I have the Pari code. I don't think the error ever surpasses the original, but the error sign will alternate some.

--Bill McEachen 22:57, 15 August 2014 (UTC)
Bill, you might be interested in the Wehmeier and Gosper formulas. — Peter Luschny 12:37, 16 August 2014 (UTC)
Thanks !--Bill McEachen 19:37, 16 August 2014 (UTC)