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Degrees-based analog to the Dottie number (A003957).
2

%I #7 Dec 02 2019 02:04:51

%S 9,9,9,8,4,7,7,4,1,5,3,1,0,8,8,1,1,2,9,5,9,8,1,0,7,6,8,6,7,9,7,9,9,7,

%T 9,9,1,8,1,8,7,2,5,8,6,1,5,2,7,7,5,8,8,3,7,5,4,6,6,9,8,6,1,1,4,2,9,5,

%U 3,8,5,3,3,1,2,1,6,3,6,3,5,5,7,8,9,5,8

%N Degrees-based analog to the Dottie number (A003957).

%C Using a calculator that has a cosine button and is set to calculate the values of trigonometric functions with the angles measured in degrees, start with any number and repeatedly hit the cosine button; the result will always converge to this value.

%C (If the calculator is set to calculate the values of trigonometric functions with the angles measured in radians rather than degrees, repeatedly hitting the cosine button will result in the value given at A003957.)

%e 0.9998477415310881129...

%o (PARI) solve(x=0, 1, cos(Pi*x/180)-x) \\ _Michel Marcus_, Dec 02 2019

%Y Cf. A003957.

%K nonn,cons

%O 0,1

%A _Jon E. Schoenfield_, Dec 01 2019