Help finding an arccotan website

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Qaanol
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Help finding an arccotan website

Postby Qaanol » Fri May 31, 2019 3:00 am UTC

I remember visiting a website which I cannot seem to locate anymore.

It had an extensive list of Machin-like formulas, organized by number of terms. It was mostly plain-text, and used the notation [n] for arccotan(n). It also included formulas with half-integer arguments, as [n/2].

I believe there was a page describing how the formulas were found by comprehensive computer search using identities for arccotan(kx) with various values of k.

And now my Google-fu is turning up empty. Is anyone familiar with the site I’m looking for?
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eta oin shrdlu
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Re: Help finding an arccotan website

Postby eta oin shrdlu » Fri May 31, 2019 5:39 pm UTC

Maybe Jörg Arndt's arctan page? (I found this from the Weisstein MathWorld's Machin-like formulas page, which has two PostScript file links on that site, presumably with data similar to that in the text files linked there.)

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Qaanol
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Re: Help finding an arccotan website

Postby Qaanol » Fri May 31, 2019 8:01 pm UTC

eta oin shrdlu wrote:Maybe Jörg Arndt's arctan page?

Yes! That’s the one, thanks!
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PM 2Ring
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Re: Help finding an arccotan website

Postby PM 2Ring » Fri May 31, 2019 9:30 pm UTC

eta oin shrdlu beat me to it. But you've reminded me of this thread
viewtopic.php?t=109967#p3656720


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