A375069 Decimal expansion of the sagitta of a regular hexagon with unit side length.

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

Offset: 0

Author

Paolo Xausa, Jul 30 2024

Keywords

• nonn
• cons
• easy

Examples

			0.133974596215561353236276829247063816528597373...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Eric Weisstein's World of Mathematics, Regular Polygon.
• Eric Weisstein's World of Mathematics, Sagitta
• Index entries for algebraic numbers, degree 2.

Crossrefs

Essentially the same as A334843.

Cf. A010527 (apothem), A104956 (area).

Cf. sagitta of other polygons with unit side length: A020769 (triangle), A174968 (square), A375068 (pentagon), A374972 (heptagon), A375070 (octagon), A375153 (9-gon), A375189 (10-gon), A375192 (11-gon), A375194 (12-gon).

Cf. A010527, A019913, A152422, A332133.

Programs

Mathematica

First[RealDigits[Tan[Pi/12]/2, 10, 100]]

PARI

tan(Pi/12)/2 \\ Charles R Greathouse IV, Feb 04 2025

PARI

polrootsreal(4*x^2-8*x+1)[1] \\ Charles R Greathouse IV, Feb 04 2025

Formula

Equals tan(Pi/12)/2 = A019913/2.

Equals 1 - sqrt(3)/2 = 1 - A010527.

Equals A152422^2 = (1 - A332133)^2. - Hugo Pfoertner, Jul 30 2024

Equals A334843-1/2. - R. J. Mathar, Aug 02 2024