A276521 Decimal expansion of the limit of the nested cos(1+cos(2+cos(3+cos(4+...)))).

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.

Links

Table of n, a(n) for n=-1..103.

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

Adjacent sequences: A276518 A276519 A276520 * A276522 A276523 A276524

Keyword

nonn,cons

Author

Robert G. Wilson v, Apr 09 2017

Status

approved