[seqfan] Re: A (new) constant related to the Lucas-Lehmer-test. Is this worth an entry in OEIS?

Gottfried Helms helms at uni-kassel.de
Fri Apr 6 21:33:29 CEST 2012


Am 06.04.2012 16:41 schrieb Maximilian Hasler:
> and a(n) = (2+sqrt(3))^(2^n)  would have 0.597 * 2^2^5e7 digits...
> 

Well, I just found, that the eLucLeh-constant is actually
                                     __________
                                  4 |       __
   eLucLeh =   (2+3^0.5)^(1/4)  =  \| 2 + \|3
                                    \      \

and this (except the 4'th root) is then already mentioned in the
"formula"-segment of the A003010-sequence, noting the same logic
as mine and eLucLeh provides simply an additional shift by 2 exponents.
So I think now, even if it should be taken into OEIS, the commenting
should just link to A003010.

Fwiw ...

Gottfried Helms





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