OFFSET
0,1
COMMENTS
In radians.
No closed form expression is known.
Probably transcendental but this has not been proved.
By Lindemann's theorem, at most one of sin(1+ sin(2+ sin(3+...))) and sin(2+ sin(3+ sin(4+ ...))) is algebraic. - Robert Israel, Mar 15 2017
EXAMPLE
0.9941666781206763386906217886955585128252297434319229865047087903224658848...
MATHEMATICA
RealDigits[Fold[ Sin[#1 + #2] &, 0, Reverse[Range[284]]], 10, 111][[1]]
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Alex Klotz and Robert G. Wilson v, Mar 15 2017
STATUS
approved