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Talk:Historical sequences
De summis serierum reciprocarum
Hello Charles, nice project!
I think A132049/A132050 might fit into your collection. The origin is from Leonhard Euler, `On the sums of series of reciprocals´, 1735. See the link in A132049. Some remarks can be found on Wikipedia/BernoulliNumbers.
(In passing: Once there was in this Wikipedia section also a reference to the OEIS sequence which was deleted by RDBury on Dec 05 2011. This guy seems to be biased against OEIS as he deleted also other references to OEIS with apparently no good reasons.) Peter Luschny 22:26, 16 December 2011 (UTC)
- Fantastic! I was hoping to have some feedback on this.
- As soon as I have it in a 'presentable' form I plan to move it to the main section (i.e. without the "User:.../" part) and bring it up on SeqFan. Right now I feel like it's probably missing a great many obvious examples, and it might be too embarrassing to ask for comment at this point.
- I will certainly add your example. Perhaps it would be best to split out the pi examples, since there are many more that could be added and they're all of the same form in some sense.
- Charles R Greathouse IV 18:56, 18 December 2011 (UTC)
- From the same work of Euler A099612/A099617 certainly also qualify for your list. These numbers constitute for me the most important (rational) sequence in all OEIS. In August I have written on my blog about these numbers. They can be seen in the center of what I called the Euler-Bernoulli Diamond (see the figure there). The Pi approximation A132049/A132050 is just the ratio of these numbers. Peter Luschny 21:20, 20 December 2011 (UTC)
- I guess many sequences could be connected with that paper. A013661 comes to mind, for example. I guess this is as good a time as any to discuss format issues, since the present is not conducive to including so many sequences. Charles R Greathouse IV 14:33, 21 December 2011 (UTC)
Gaps
Right now I have no entries in the 700+ year gap between the magic square of order 3 and Alcuin's book. Worse, a thousand years separate the Babylonian YBC 7289 and the Baudhayana Shulba sutra. And of course anything before the Rhind Papyrus would be useful, even just a reference to A000027 if early enough. Any ideas?
Charles R Greathouse IV 14:33, 21 December 2011 (UTC)