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A276521
Decimal expansion of the limit of the nested cos(1+cos(2+cos(3+cos(4+...)))).
1
3, 4, 9, 5, 6, 5, 1, 2, 0, 8, 2, 6, 1, 9, 3, 0, 1, 5, 8, 6, 4, 4, 5, 8, 9, 1, 9, 4, 0, 2, 4, 0, 6, 2, 9, 4, 0, 5, 5, 7, 3, 2, 2, 5, 0, 7, 9, 7, 1, 0, 8, 8, 5, 0, 8, 6, 2, 9, 8, 9, 5, 2, 9, 9, 9, 9, 3, 3, 0, 0, 1, 8, 6, 4, 5, 6, 5, 8, 0, 2, 0, 7, 0, 0, 8, 2, 5, 0, 9, 7, 0, 6, 9, 9, 2, 6, 1, 4, 6, 4, 7, 6, 0, 4, 2
OFFSET
-1,1
COMMENTS
In radians.
No closed form expression is known.
Probably transcendental but this has not been proved.
EXAMPLE
0.03495651208261930158644589194024062940557322507971088508629895299993300186...
MATHEMATICA
RealDigits[ Fold[ Cos[#1 + #2] &, 0, Reverse[ Range@ 295]], 10, 111][[1]]
CROSSREFS
Sequence in context: A011292 A021745 A190285 * A247567 A271529 A070154
KEYWORD
nonn,cons
AUTHOR
Robert G. Wilson v, Apr 09 2017
STATUS
approved