A374972 - OEIS

A374972

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

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

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

OFFSET

0,3

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 6.

FORMULA

Equals tan(Pi/14)/2 = A343059/2.

Equals A374957 - A374971.

EXAMPLE

0.114121737195074969038805681030507391369390840490...

MATHEMATICA

First[RealDigits[Tan[Pi/14]/2, 10, 100]]

PROG

(PARI) tan(Pi/14)/2 \\ Charles R Greathouse IV, Feb 04 2025

(PARI) polrootsreal(448*x^6-560*x^4+84*x^2-1)[4] \\ Charles R Greathouse IV, Feb 04 2025

CROSSREFS

Cf. A374957 (circumradius), A374971 (apothem), A178817 (area).

Cf. sagitta of other polygons with unit side length: A020769 (triangle), A174968 (square), A375068 (pentagon), A375069 (hexagon), A374972 (heptagon), A375070 (octagon), A375153 (9-gon), A375189 (10-gon), A375192 (11-gon), A375194 (12-gon).

Cf. A343059.

Sequence in context: A380313 A126241 A353515 * A019777 A337515 A090885

Adjacent sequences: A374969 A374970 A374971 * A374973 A374974 A374975

KEYWORD

nonn,cons,easy

AUTHOR

Paolo Xausa, Jul 26 2024

STATUS

approved