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A343060
Decimal expansion of tan(Pi/16).
2
1, 9, 8, 9, 1, 2, 3, 6, 7, 3, 7, 9, 6, 5, 8, 0, 0, 6, 9, 1, 1, 5, 9, 7, 6, 2, 2, 6, 4, 4, 6, 7, 6, 2, 2, 8, 5, 9, 7, 8, 5, 0, 5, 0, 1, 3, 2, 1, 5, 9, 0, 9, 8, 1, 9, 2, 1, 1, 1, 6, 9, 9, 5, 8, 2, 5, 4, 2, 9, 6, 0, 4, 4, 6, 0, 2, 7, 7, 0, 6, 3, 0, 5, 3, 3, 1, 9, 9, 0, 6, 0, 5, 7, 6, 1, 4, 7, 1, 3, 7, 5, 7, 7, 6, 0, 7, 8, 2, 6, 5, 6, 5, 7, 0, 5, 8
OFFSET
0,2
FORMULA
Equals sqrt( (2-sqrt(2+sqrt(2)))/(2+sqrt(2+sqrt(2))) ).
Equals sqrt(4+2*sqrt(2))-sqrt(2)-1.
EXAMPLE
0.19891236737965800691159762264...
MATHEMATICA
RealDigits[Tan[Pi/16], 10, 100][[1]] (* Amiram Eldar, Apr 27 2021 *)
PROG
(PARI) tan(Pi/16)
(PARI) sqrt((2-sqrt(2+sqrt(2)))/(2+sqrt(2+sqrt(2))))
(PARI) sqrt(4+2*sqrt(2))-sqrt(2)-1
CROSSREFS
Cf. A232738 (sin(Pi/16)), A232737 (cos(Pi/16)), A343057 (tan(Pi/32)).
Sequence in context: A090998 A163930 A157371 * A245330 A269222 A201994
KEYWORD
nonn,cons,easy
AUTHOR
Seiichi Manyama, Apr 04 2021
STATUS
approved