A343057 Decimal expansion of tan(Pi/32).

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

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Wikipedia, Trigonometric constants expressed in real radicals

Index entries for algebraic numbers, degree 8.

Formula

Equals sqrt( (2-sqrt(2+sqrt(2+sqrt(2))))/(2+sqrt(2+sqrt(2+sqrt(2)))) ).

Example

0.098491403357164253077197...

Mathematica

RealDigits[Tan[Pi/32], 10, 120, -1][[1]] (* Amiram Eldar, Apr 27 2021 *)

Prog

(PARI) tan(Pi/32)
(PARI) sqrt((2-sqrt(2+sqrt(2+sqrt(2))))/(2+sqrt(2+sqrt(2+sqrt(2)))))
(Magma) R:= RealField(125); Tan(Pi(R)/32) // G. C. Greubel, Sep 30 2022
(SageMath) numerical_approx(tan(pi/32), digits=125) # G. C. Greubel, Sep 30 2022

Crossrefs

Cf. A343055 (sin(Pi/32)), A343056 (cos(Pi/32)).

tan(Pi/m): A002194 (m=3), A019934 (m=5), A020760 (m=6), A343058 (m=7), A188582 (m=8), A019918 (m=9), A019916 (m=10), A019913 (m=12), A343059 (m=14), A019910 (m=15), A343060 (m=16), A343061 (m=17), A019908 (m=18), A019907 (m=20), A343062 (m=24), A019904 (m=30), A343057 (m=32), A019903 (m=36).

Sequence in context: A358659 A010548 A011458 * A155690 A318135 A119384

Adjacent sequences: A343054 A343055 A343056 * A343058 A343059 A343060

Keyword

nonn,cons,easy,changed

Author

Seiichi Manyama, Apr 04 2021

Status

approved