OFFSET
-1,1
COMMENTS
This constant appears in a historic problem posed by Adriaan van Roomen (Adrianus Romanus) in his Ideae mathematicae from 1593, solved by Viète. See the Havil reference, problem 1 (with a correction), pp. 69-74.
For details see the comments under A302711, also for the original reference.
REFERENCES
Julian Havil, The Irrationals, A Story of the Numbers You Can't Count On, Princeton University Press, Princeton and Oxford, 2012, pp. 69-74.
FORMULA
The constant is 2*sin(Pi/96) = sqrt(2 - sqrt(2 + sqrt(2 + sqrt(2 + sqrt(3))))).
EXAMPLE
2*sin(Pi/96) = 0.0654381656435522841273198526345762522299252545033923937561...
MATHEMATICA
RealDigits[2*Sin[Pi/96], 10, 120][[1]] (* Amiram Eldar, Jun 26 2023 *)
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Apr 28 2018
STATUS
approved