OFFSET
1,3
COMMENTS
By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019
LINKS
Mohammad K. Azarian, Solution of Forty-Five Nested Equilateral Triangles and cosecant of 1 degree, Problem 813, College Mathematics Journal, Vol. 37, No. 5, November 2006, pp. 394-395. Solution published in Vol. 37 , No. 5, November 2006, pp. 394-395.
FORMULA
Equals Sum_{n=-oo..oo} ((-1)^n/(1 + n*Pi)). - Jean-François Alcover, Mar 21 2013.
Equals Sum_{k>=0} (-1)^k * (2 - 4^k) * bernoulli(2*k)/(2*k)! = Sum_{k>=0} (-1)^k * (2 - 4^k) * A027641(2*k)/(A027642(2*k)*(2*k)!). - Amiram Eldar, Aug 03 2020
EXAMPLE
1.18839510577812121626159945237...
MATHEMATICA
RealDigits[Csc[1], 10, 120][[1]] (* Amiram Eldar, May 29 2023 *)
PROG
(PARI) 1/sin(1)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Rick L. Shepherd, Aug 01 2002
STATUS
approved