OFFSET
1,1
COMMENTS
Let d(n) be defined to be the smallest solution to cos(x)=cos(x^n) then lim n -> infinity d(n) exists and equals 2.36338112904...= w004 in Plouffe's inverter.
FORMULA
This number is (-1+sqrt(1+8*Pi))/2 = 2.0560096...
MATHEMATICA
RealDigits[(Sqrt[8*Pi+1]-1)/2, 10, 120][[1]] (* Harvey P. Dale, Sep 25 2015 *)
CROSSREFS
KEYWORD
AUTHOR
Benoit Cloitre, Mar 30 2002
STATUS
approved