A343060 Decimal expansion of tan(Pi/16).

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

Author

Seiichi Manyama, Apr 04 2021

Keywords

• nonn
• cons
• easy

Examples

			0.19891236737965800691159762264...
		

Links

• Wikipedia, Trigonometric constants expressed in real radicals
• Index entries for algebraic numbers, degree 4.

Crossrefs

Cf. A232738 (sin(Pi/16)), A232737 (cos(Pi/16)), A343057 (tan(Pi/32)).

Programs

Mathematica

RealDigits[Tan[Pi/16], 10, 100][[1]] (* Amiram Eldar, Apr 27 2021 *)

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

Formula

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

Equals sqrt(4+2*sqrt(2))-sqrt(2)-1.