A139350 Decimal expansion of csc((1+sqrt(5))/2), where (1+sqrt(5))/2 is the golden ratio.

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

Offset

1,7

Comments

By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for transcendental numbers.

Formula

Equals 1/A139345. - Amiram Eldar, Feb 07 2022

Example

1.00111673661465225489616711351705587794461531806624...

Mathematica

RealDigits[Csc[GoldenRatio], 10, 100][[1]] (* Vincenzo Librandi, Feb 19 2013 *)

Prog

(PARI) 1/sin((sqrt(5)+1)/2) \\ Charles R Greathouse IV, May 13 2019

Crossrefs

Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341, A139342, A139345, A139346, A139347, A139348, A139349.

Sequence in context: A248650 A154339 A197141 * A092560 A272875 A018248

Adjacent sequences: A139347 A139348 A139349 * A139351 A139352 A139353

Keyword

nonn,cons

Author

Mohammad K. Azarian, Apr 15 2008

Extensions

Edited by Bruno Berselli, Feb 19 2013

Status

approved