A375069 - OEIS

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,2

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.

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

Minimal polynomial: 4*x^2 - 8*x + 1. - Amiram Eldar, May 14 2026

EXAMPLE

0.133974596215561353236276829247063816528597373...

MATHEMATICA

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

PROG

(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

CROSSREFS

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.

Sequence in context: A156164 A198613 A197031 * A065483 A019745 A173815

Adjacent sequences: A375066 A375067 A375068 * A375070 A375071 A375072

KEYWORD

nonn,cons,easy,changed

AUTHOR

Paolo Xausa, Jul 30 2024

STATUS

approved