login
A343062
Decimal expansion of tan(Pi/24).
2
1, 3, 1, 6, 5, 2, 4, 9, 7, 5, 8, 7, 3, 9, 5, 8, 5, 3, 4, 7, 1, 5, 2, 6, 4, 5, 7, 4, 0, 9, 7, 1, 7, 1, 0, 3, 5, 9, 2, 8, 1, 4, 1, 0, 2, 2, 2, 3, 2, 3, 7, 5, 7, 3, 5, 5, 3, 5, 6, 5, 3, 2, 5, 7, 8, 9, 7, 5, 9, 8, 3, 9, 0, 1, 0, 6, 2, 2, 0, 2, 8, 3, 0, 9, 1, 0, 0, 7, 8, 0, 6, 7, 5, 0, 3, 3, 2, 3, 1, 8, 7, 7, 9, 8, 2, 3, 0, 6, 0, 4, 2
OFFSET
0,2
FORMULA
Equals sqrt( (2-sqrt(2+sqrt(3)))/(2+sqrt(2+sqrt(3))) ).
Equals (sqrt(2)-1)*(sqrt(3)-sqrt(2)) = sqrt(2)-sqrt(3)+sqrt(6)-2.
EXAMPLE
0.13165249758739585347152...
MATHEMATICA
RealDigits[Tan[Pi/24], 10, 100][[1]] (* Amiram Eldar, Apr 27 2021 *)
PROG
(PARI) tan(Pi/24)
(PARI) sqrt((2-sqrt(2+sqrt(3)))/(2+sqrt(2+sqrt(3))))
(PARI) (sqrt(2)-1)*(sqrt(3)-sqrt(2))
CROSSREFS
Cf. A144982 (cos (Pi/24)).
Sequence in context: A210214 A322427 A209149 * A210602 A210801 A153091
KEYWORD
nonn,cons,easy
AUTHOR
Seiichi Manyama, Apr 04 2021
STATUS
approved