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A283749
Decimal expansion of the limit of the nested sin(1+ sin(2+ sin(3+ sin(4+ ...)))).
1
9, 9, 4, 1, 6, 6, 6, 7, 8, 1, 2, 0, 6, 7, 6, 3, 3, 8, 6, 9, 0, 6, 2, 1, 7, 8, 8, 6, 9, 5, 5, 5, 8, 5, 1, 2, 8, 2, 5, 2, 2, 9, 7, 4, 3, 4, 3, 1, 9, 2, 2, 9, 8, 6, 5, 0, 4, 7, 0, 8, 7, 9, 0, 3, 2, 2, 4, 6, 5, 8, 8, 4, 8, 6, 7, 8, 8, 8, 4, 6, 8, 8, 4, 6, 6, 3, 0, 5, 5, 3, 7, 6, 3, 5, 1, 9, 5, 4, 0, 1, 5, 1, 6, 5, 1, 4, 7, 9, 8, 7, 0
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
Sequence in context: A172502 A118739 A192031 * A249023 A336044 A019893
KEYWORD
cons,nonn
AUTHOR
STATUS
approved