OFFSET
1,1
COMMENTS
Let c(n) be defined as the smallest solution to sin(x) = sin(x^n); then lim_{n -> infinity} c(n) = C = 2.36338112904... = w004 in Plouffe's inverter.
FORMULA
Let x = (3*(45*Pi+sqrt(3*(4+675*Pi^2))))^(1/3) then the constant is (2^(1/3)*x^2-6)/(3*2^(2/3)*x). - Peter Luschny, Mar 12 2018
MATHEMATICA
Root[#^3 + # - 5*Pi&, 1] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Mar 04 2013 *)
PROG
(PARI) solve(x=2.3, 2.4, sin(x) - sin(x^3)) \\ Michel Marcus, Mar 11 2018
CROSSREFS
KEYWORD
AUTHOR
Benoit Cloitre, Mar 30 2002
EXTENSIONS
Name clarified by Peter Luschny, Mar 12 2018
STATUS
approved