OFFSET
0,2
COMMENTS
This constant is a transcendental number (Margolius, 2002; Smith, 2003). - Amiram Eldar, Aug 13 2020
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003. See pp. 430-433.
LINKS
Jonathan M. Borwein and Roland Girgensohn, Addition Theorems and Binary Expansions, Canadian Journal of Mathematics, Vol. 47, No. 2 (1995), pp. 262-273.
Barbara H. Margolius, Plouffe's Constant is Transcendental, unpublished note, 2002.
Simon Plouffe, The computation of certain numbers using a ruler and compass, Journal of Integer Sequences, Vol. 1 (1998), Article 98.1.3.
Warren D. Smith, Pythagorean triples, rational angles, and space-filling simplices, preprint, 2003.
Eric Weisstein's World of Mathematics, Plouffe's Constants
EXAMPLE
0.14758...
MATHEMATICA
RealDigits[ArcTan[1/2]/Pi, 10, 100][[1]] (* Amiram Eldar, Aug 13 2020 *)
PROG
(PARI) atan(1/2)/Pi \\ Michel Marcus, Jul 29 2015
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 12 2003
STATUS
approved